A basic example is a complete variety (e.g., projective variety) in the following sense: a k-variety X is complete in the classical definition if it is universally closed. A proper morphism is a generalization of this to schemes.
A closed immersion is proper. A morphism is finite if and only if it is proper and quasi-finite.
are closed maps of the underlying topological spaces. A morphismf: X → Y of algebraic varieties is called proper if it is separated and universally closed. A morphism of schemes is called proper if it is separated, of finite type and universally closed ([EGA] II, 5.4.1 ). One also says that X is proper over Y. A variety X over a fieldk is complete when the structural morphism from X to the spectrum of k is proper.
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.
We describe how to test a morphism for being proper using discrete valuation rings, and use this to show that projective morphisms are proper.
published: 18 Jul 2020
Schemes 24: Proper morphisms
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define proper morphisms in topology and geometry,
and show that finite morphisms are proper.
published: 18 Jul 2020
A Sensible Introduction to Category Theory
Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the basics of category theory, I attempt to remove it.
27 Unhelpful Facts About Category Theory: https://www.youtube.com/watch?v=H0Ek86IH-3Y
MetaMaths on category theory: https://www.youtube.com/watch?v=ZG6t0-JMrw0
My dissertation on the equivalence between the category of monoidal categories and the category of representable multicategories: https://drive.google.com/file/d/1hAkV1qSnUutzQMMQi48yo_fXsgb1YnbL/view?usp=sharing
FURTHER READING
Basic Category Theory (Tom Leinster): https://arxiv.org/pdf/1612.09375.pdf
Categories for the Working Mathematician (Saunders Mac Lane): http://www.mtm.ufsc.br/~ebatista/2016-2/maclanecat.pdf
Catego...
published: 22 Jun 2022
Introduction to Higher Mathematics - Lecture 18: Morphisms
Hold onto your seats. In this lecture we're going to explore some relationships between groups that will astound you with how interconnected they are!
published: 09 Apr 2013
Weil conjectures 7: What is an etale morphism?
This talk explains what etale morphisms are in algebraic geometry. We first review etale morphisms in the usual topology of complex manifolds, where they are just local homeomorphism, and explain why this does not work in algebraic geometry. We give a provisional definition of etale morphisms as morphisms that induce isomorphisms of complete local rings, which works for varieties over algebraically closed fields. Then we give the definition of etale morphisms as formally etale morphisms that are locally of finite presentation, where formally etale morphisms are those satisfying a certain lifting property. Finally we give a few examples of etale morphisms over fields that are not algebraically closed.
published: 29 Oct 2020
I created Neumorphism, Glassmorphism and Aurora
Hi! You voted, I complied :-) Here's my video about how I created Neumorphism, Glassmorphism and Aurora via very popular Medium articles. I've been writing about UX and UI design there for a long time, and in 2019 my first trend caught on, creating a worldwide naming convention. After that I did it two more times. So how do you define design trends? What will be trending in UX and UI design in 2021?
You can watch my tutorials on Glassmorphism and Aurora here:
https://youtu.be/0_MDRXWLlJ8
https://youtu.be/uRVnX0k593E
https://youtu.be/COcIVWeWv7c
This is how I come up with the new design trends.
☝️ Watch next and be awesome!
4 Reasons NOT to become a designer: https://youtu.be/iYegAhaqS0s
How We Work on Real Client projects: https://youtu.be/gRqHEjATSCE
Reasons FOR be...
published: 24 May 2021
Schemes 21: Separated morphisms
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define separated and quasi-separated schemes and morphisms, give a few examples, and show that if a scheme has a separated morphism to an affine scheme then the intersection of two open affine sets is open affine.
Enroll My Course : Next Level CSS Animation and Hover Effects
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This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.
We describe how to test a mor...
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.
We describe how to test a morphism for being proper using discrete valuation rings, and use this to show that projective morphisms are proper.
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.
We describe how to test a morphism for being proper using discrete valuation rings, and use this to show that projective morphisms are proper.
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define proper morphisms i...
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define proper morphisms in topology and geometry,
and show that finite morphisms are proper.
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define proper morphisms in topology and geometry,
and show that finite morphisms are proper.
Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the ba...
Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the basics of category theory, I attempt to remove it.
27 Unhelpful Facts About Category Theory: https://www.youtube.com/watch?v=H0Ek86IH-3Y
MetaMaths on category theory: https://www.youtube.com/watch?v=ZG6t0-JMrw0
My dissertation on the equivalence between the category of monoidal categories and the category of representable multicategories: https://drive.google.com/file/d/1hAkV1qSnUutzQMMQi48yo_fXsgb1YnbL/view?usp=sharing
FURTHER READING
Basic Category Theory (Tom Leinster): https://arxiv.org/pdf/1612.09375.pdf
Categories for the Working Mathematician (Saunders Mac Lane): http://www.mtm.ufsc.br/~ebatista/2016-2/maclanecat.pdf
Category Theory for Computing Science (Michael Barr and Charles Wells): https://www.math.mcgill.ca/triples/Barr-Wells-ctcs.pdf
Category Theory for the Sciences (David Spivak): https://math.mit.edu/~dspivak/CT4S.pdf
Bartosz Milewski on category theory: https://www.youtube.com/watch?v=I8LbkfSSR58&list=PLbgaMIhjbmEnaH_LTkxLI7FMa2HsnawM_
Emily Riehl on category theory: https://www.youtube.com/watch?v=WLkMBMUk48E
MUSIC
Meditation Aquatic
369 (Epidemic Sound)
Nights Full of Overthinking
Lionel Quick (Epidemic Sound)
Oregano
Vendla (Epidemic Sound)
Wash
Timothy Infinite (Epidemic Sound)
Wind
Osoku (Epidemic Sound)
Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the basics of category theory, I attempt to remove it.
27 Unhelpful Facts About Category Theory: https://www.youtube.com/watch?v=H0Ek86IH-3Y
MetaMaths on category theory: https://www.youtube.com/watch?v=ZG6t0-JMrw0
My dissertation on the equivalence between the category of monoidal categories and the category of representable multicategories: https://drive.google.com/file/d/1hAkV1qSnUutzQMMQi48yo_fXsgb1YnbL/view?usp=sharing
FURTHER READING
Basic Category Theory (Tom Leinster): https://arxiv.org/pdf/1612.09375.pdf
Categories for the Working Mathematician (Saunders Mac Lane): http://www.mtm.ufsc.br/~ebatista/2016-2/maclanecat.pdf
Category Theory for Computing Science (Michael Barr and Charles Wells): https://www.math.mcgill.ca/triples/Barr-Wells-ctcs.pdf
Category Theory for the Sciences (David Spivak): https://math.mit.edu/~dspivak/CT4S.pdf
Bartosz Milewski on category theory: https://www.youtube.com/watch?v=I8LbkfSSR58&list=PLbgaMIhjbmEnaH_LTkxLI7FMa2HsnawM_
Emily Riehl on category theory: https://www.youtube.com/watch?v=WLkMBMUk48E
MUSIC
Meditation Aquatic
369 (Epidemic Sound)
Nights Full of Overthinking
Lionel Quick (Epidemic Sound)
Oregano
Vendla (Epidemic Sound)
Wash
Timothy Infinite (Epidemic Sound)
Wind
Osoku (Epidemic Sound)
This talk explains what etale morphisms are in algebraic geometry. We first review etale morphisms in the usual topology of complex manifolds, where they are ju...
This talk explains what etale morphisms are in algebraic geometry. We first review etale morphisms in the usual topology of complex manifolds, where they are just local homeomorphism, and explain why this does not work in algebraic geometry. We give a provisional definition of etale morphisms as morphisms that induce isomorphisms of complete local rings, which works for varieties over algebraically closed fields. Then we give the definition of etale morphisms as formally etale morphisms that are locally of finite presentation, where formally etale morphisms are those satisfying a certain lifting property. Finally we give a few examples of etale morphisms over fields that are not algebraically closed.
This talk explains what etale morphisms are in algebraic geometry. We first review etale morphisms in the usual topology of complex manifolds, where they are just local homeomorphism, and explain why this does not work in algebraic geometry. We give a provisional definition of etale morphisms as morphisms that induce isomorphisms of complete local rings, which works for varieties over algebraically closed fields. Then we give the definition of etale morphisms as formally etale morphisms that are locally of finite presentation, where formally etale morphisms are those satisfying a certain lifting property. Finally we give a few examples of etale morphisms over fields that are not algebraically closed.
Hi! You voted, I complied :-) Here's my video about how I created Neumorphism, Glassmorphism and Aurora via very popular Medium articles. I've been writing abou...
Hi! You voted, I complied :-) Here's my video about how I created Neumorphism, Glassmorphism and Aurora via very popular Medium articles. I've been writing about UX and UI design there for a long time, and in 2019 my first trend caught on, creating a worldwide naming convention. After that I did it two more times. So how do you define design trends? What will be trending in UX and UI design in 2021?
You can watch my tutorials on Glassmorphism and Aurora here:
https://youtu.be/0_MDRXWLlJ8
https://youtu.be/uRVnX0k593E
https://youtu.be/COcIVWeWv7c
This is how I come up with the new design trends.
☝️ Watch next and be awesome!
4 Reasons NOT to become a designer: https://youtu.be/iYegAhaqS0s
How We Work on Real Client projects: https://youtu.be/gRqHEjATSCE
Reasons FOR becoming a designer: https://youtu.be/NVCUfYW62IA
🏆 Master design with me
✅ 100+ designers got a job with: https://gum.co/uicasestudy
✅ 3000 people improved their skills: https://gum.co/uicourse
✅ Best book about UI (5000 sold): https://gum.co/uibook
✅ Learn UX cheap and easy: https://gum.co/guidetoux
🎉 See all my books & courses https://hype4.academy
🐦 My Twitter: https://twitter.com/michalmalewicz
👨🏻💻 About me
I'm a designer, entrepreneur and startup founder. I started back in the late 90's and currently my main goal is to share my knowledge, both paid and free. This channel is one of the places where I share my tips on design, user experience, growth, marketing, life and mindfulness. Subscribe to stay in touch. ❤️
#neumorphism #glassmorphism #auroraui
Hi! You voted, I complied :-) Here's my video about how I created Neumorphism, Glassmorphism and Aurora via very popular Medium articles. I've been writing about UX and UI design there for a long time, and in 2019 my first trend caught on, creating a worldwide naming convention. After that I did it two more times. So how do you define design trends? What will be trending in UX and UI design in 2021?
You can watch my tutorials on Glassmorphism and Aurora here:
https://youtu.be/0_MDRXWLlJ8
https://youtu.be/uRVnX0k593E
https://youtu.be/COcIVWeWv7c
This is how I come up with the new design trends.
☝️ Watch next and be awesome!
4 Reasons NOT to become a designer: https://youtu.be/iYegAhaqS0s
How We Work on Real Client projects: https://youtu.be/gRqHEjATSCE
Reasons FOR becoming a designer: https://youtu.be/NVCUfYW62IA
🏆 Master design with me
✅ 100+ designers got a job with: https://gum.co/uicasestudy
✅ 3000 people improved their skills: https://gum.co/uicourse
✅ Best book about UI (5000 sold): https://gum.co/uibook
✅ Learn UX cheap and easy: https://gum.co/guidetoux
🎉 See all my books & courses https://hype4.academy
🐦 My Twitter: https://twitter.com/michalmalewicz
👨🏻💻 About me
I'm a designer, entrepreneur and startup founder. I started back in the late 90's and currently my main goal is to share my knowledge, both paid and free. This channel is one of the places where I share my tips on design, user experience, growth, marketing, life and mindfulness. Subscribe to stay in touch. ❤️
#neumorphism #glassmorphism #auroraui
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define separated and quas...
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define separated and quasi-separated schemes and morphisms, give a few examples, and show that if a scheme has a separated morphism to an affine scheme then the intersection of two open affine sets is open affine.
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define separated and quasi-separated schemes and morphisms, give a few examples, and show that if a scheme has a separated morphism to an affine scheme then the intersection of two open affine sets is open affine.
Enroll My Course : Next Level CSS Animation and Hover Effects
https://www.udemy.com/course/css-hover-animation-effects-from-beginners-to-expert/?referralCode=90...
Enroll My Course : Next Level CSS Animation and Hover Effects
https://www.udemy.com/course/css-hover-animation-effects-from-beginners-to-expert/?referralCode=90A9FFA7990A4491CF8D
Another Course : Build Complete Real World Responsive Websites from Scratch
https://www.udemy.com/course/complete-responsive-website-design-from-scratch/?referralCode=F1DFAF1715AF6CE5780E
------------------
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give proper credit if you repost this on other social media platform
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Inspired By These
Shiny Glass Button Hover Effects | Html CSS
https://youtu.be/uNjfslp6Qnc
Pure CSS Circular Progress Bar | CSS Glassmorphism Effects
https://youtu.be/8bC0S88n_NY
------------------
Disclaimer video is for educational purpose only. Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use
Enroll My Course : Next Level CSS Animation and Hover Effects
https://www.udemy.com/course/css-hover-animation-effects-from-beginners-to-expert/?referralCode=90A9FFA7990A4491CF8D
Another Course : Build Complete Real World Responsive Websites from Scratch
https://www.udemy.com/course/complete-responsive-website-design-from-scratch/?referralCode=F1DFAF1715AF6CE5780E
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------------------
give proper credit if you repost this on other social media platform
------------------
Inspired By These
Shiny Glass Button Hover Effects | Html CSS
https://youtu.be/uNjfslp6Qnc
Pure CSS Circular Progress Bar | CSS Glassmorphism Effects
https://youtu.be/8bC0S88n_NY
------------------
Disclaimer video is for educational purpose only. Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.
We describe how to test a morphism for being proper using discrete valuation rings, and use this to show that projective morphisms are proper.
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define proper morphisms in topology and geometry,
and show that finite morphisms are proper.
Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the basics of category theory, I attempt to remove it.
27 Unhelpful Facts About Category Theory: https://www.youtube.com/watch?v=H0Ek86IH-3Y
MetaMaths on category theory: https://www.youtube.com/watch?v=ZG6t0-JMrw0
My dissertation on the equivalence between the category of monoidal categories and the category of representable multicategories: https://drive.google.com/file/d/1hAkV1qSnUutzQMMQi48yo_fXsgb1YnbL/view?usp=sharing
FURTHER READING
Basic Category Theory (Tom Leinster): https://arxiv.org/pdf/1612.09375.pdf
Categories for the Working Mathematician (Saunders Mac Lane): http://www.mtm.ufsc.br/~ebatista/2016-2/maclanecat.pdf
Category Theory for Computing Science (Michael Barr and Charles Wells): https://www.math.mcgill.ca/triples/Barr-Wells-ctcs.pdf
Category Theory for the Sciences (David Spivak): https://math.mit.edu/~dspivak/CT4S.pdf
Bartosz Milewski on category theory: https://www.youtube.com/watch?v=I8LbkfSSR58&list=PLbgaMIhjbmEnaH_LTkxLI7FMa2HsnawM_
Emily Riehl on category theory: https://www.youtube.com/watch?v=WLkMBMUk48E
MUSIC
Meditation Aquatic
369 (Epidemic Sound)
Nights Full of Overthinking
Lionel Quick (Epidemic Sound)
Oregano
Vendla (Epidemic Sound)
Wash
Timothy Infinite (Epidemic Sound)
Wind
Osoku (Epidemic Sound)
This talk explains what etale morphisms are in algebraic geometry. We first review etale morphisms in the usual topology of complex manifolds, where they are just local homeomorphism, and explain why this does not work in algebraic geometry. We give a provisional definition of etale morphisms as morphisms that induce isomorphisms of complete local rings, which works for varieties over algebraically closed fields. Then we give the definition of etale morphisms as formally etale morphisms that are locally of finite presentation, where formally etale morphisms are those satisfying a certain lifting property. Finally we give a few examples of etale morphisms over fields that are not algebraically closed.
Hi! You voted, I complied :-) Here's my video about how I created Neumorphism, Glassmorphism and Aurora via very popular Medium articles. I've been writing about UX and UI design there for a long time, and in 2019 my first trend caught on, creating a worldwide naming convention. After that I did it two more times. So how do you define design trends? What will be trending in UX and UI design in 2021?
You can watch my tutorials on Glassmorphism and Aurora here:
https://youtu.be/0_MDRXWLlJ8
https://youtu.be/uRVnX0k593E
https://youtu.be/COcIVWeWv7c
This is how I come up with the new design trends.
☝️ Watch next and be awesome!
4 Reasons NOT to become a designer: https://youtu.be/iYegAhaqS0s
How We Work on Real Client projects: https://youtu.be/gRqHEjATSCE
Reasons FOR becoming a designer: https://youtu.be/NVCUfYW62IA
🏆 Master design with me
✅ 100+ designers got a job with: https://gum.co/uicasestudy
✅ 3000 people improved their skills: https://gum.co/uicourse
✅ Best book about UI (5000 sold): https://gum.co/uibook
✅ Learn UX cheap and easy: https://gum.co/guidetoux
🎉 See all my books & courses https://hype4.academy
🐦 My Twitter: https://twitter.com/michalmalewicz
👨🏻💻 About me
I'm a designer, entrepreneur and startup founder. I started back in the late 90's and currently my main goal is to share my knowledge, both paid and free. This channel is one of the places where I share my tips on design, user experience, growth, marketing, life and mindfulness. Subscribe to stay in touch. ❤️
#neumorphism #glassmorphism #auroraui
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne..
We define separated and quasi-separated schemes and morphisms, give a few examples, and show that if a scheme has a separated morphism to an affine scheme then the intersection of two open affine sets is open affine.
Enroll My Course : Next Level CSS Animation and Hover Effects
https://www.udemy.com/course/css-hover-animation-effects-from-beginners-to-expert/?referralCode=90A9FFA7990A4491CF8D
Another Course : Build Complete Real World Responsive Websites from Scratch
https://www.udemy.com/course/complete-responsive-website-design-from-scratch/?referralCode=F1DFAF1715AF6CE5780E
------------------
Join Our Channel Membership And Get Source Code of My New Video's Everyday!
Join : https://www.youtube.com/channel/UCbwXnUipZsLfUckBPsC7Jog/join
------------------
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Buy Me A Coffee : https://www.buymeacoffee.com/onlineTutorials
------------------
give proper credit if you repost this on other social media platform
------------------
Inspired By These
Shiny Glass Button Hover Effects | Html CSS
https://youtu.be/uNjfslp6Qnc
Pure CSS Circular Progress Bar | CSS Glassmorphism Effects
https://youtu.be/8bC0S88n_NY
------------------
Disclaimer video is for educational purpose only. Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use
A basic example is a complete variety (e.g., projective variety) in the following sense: a k-variety X is complete in the classical definition if it is universally closed. A proper morphism is a generalization of this to schemes.
A closed immersion is proper. A morphism is finite if and only if it is proper and quasi-finite.
are closed maps of the underlying topological spaces. A morphismf: X → Y of algebraic varieties is called proper if it is separated and universally closed. A morphism of schemes is called proper if it is separated, of finite type and universally closed ([EGA] II, 5.4.1 ). One also says that X is proper over Y. A variety X over a fieldk is complete when the structural morphism from X to the spectrum of k is proper.