Media Summary: ... injective by our criterion here we see that the alpha is not a zero divisor in b thus we see that This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ... Course: Introduction to stacks and moduli Instructor: Jarod Alper (University of Washington) Course website: ...

Flat Morphisms And Going Down - Detailed Analysis & Overview

... injective by our criterion here we see that the alpha is not a zero divisor in b thus we see that This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ... Course: Introduction to stacks and moduli Instructor: Jarod Alper (University of Washington) Course website: ... Talk on June 17 at the WIS Representation theory and Algebraic Geometry seminar. Full title: Singularity properties of ...

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Flat Morphisms and Going-down Theorem
Flat morphisms preserve non-zero divisors
Schemes 24: Proper morphisms
Schemes 10: Morphisms of affine schemes
Lecture 16: Explicit stable reduction and gluing & forgetful morphisms
Finite Morphisms : Part 1
Morphisms
Going Down Theorem
Schemes 16: Morphisms of finite type
Schemes 23: Valuations and separation
Schemes 13: The functor of points
Schemes 25: Proper morphisms and valuations
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Flat Morphisms and Going-down Theorem

Flat Morphisms and Going-down Theorem

In this video we're gonna prove the

Flat morphisms preserve non-zero divisors

Flat morphisms preserve non-zero divisors

... injective by our criterion here we see that the alpha is not a zero divisor in b thus we see that

Schemes 24: Proper morphisms

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 ...

Schemes 10: Morphisms of affine schemes

Schemes 10: Morphisms of affine schemes

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ...

Lecture 16: Explicit stable reduction and gluing & forgetful morphisms

Lecture 16: Explicit stable reduction and gluing & forgetful morphisms

Course: Introduction to stacks and moduli Instructor: Jarod Alper (University of Washington) Course website: ...

Finite Morphisms : Part 1

Finite Morphisms : Part 1

Finite

Morphisms

Morphisms

... and then describe what

Going Down Theorem

Going Down Theorem

So now we discuss the

Schemes 16: Morphisms of finite type

Schemes 16: Morphisms of finite type

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ...

Schemes 23: Valuations and separation

Schemes 23: Valuations and separation

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ...

Schemes 13: The functor of points

Schemes 13: The functor of points

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ...

Schemes 25: Proper morphisms and valuations

Schemes 25: Proper morphisms and valuations

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ...

Yotam Hendel (Northwestern): Singularity properties of convolutions of algebraic morphisms ...

Yotam Hendel (Northwestern): Singularity properties of convolutions of algebraic morphisms ...

Talk on June 17 at the WIS Representation theory and Algebraic Geometry seminar. Full title: Singularity properties of ...