List questions from schemes

Published on 11 Jun 2014 - 14:33

340

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what are the "points" of the scheme $\mathbb{Z}_8[x] /(x^2 + 7)$

Published on 18 Jun 2014 - 16:33

267

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Surjective étale morphisms on points.

Published on 24 Jun 2014 - 13:17

1.9k

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History of Algebraic Geometry: Motivation behind definition of schemes

Published on 29 Mar 2026 - 22:08

191

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The structure morphism of a projective variety induces a morphism of $k$-algeras

Published on 25 Mar 2026 - 6:07

2k

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Finite pushforward commute with taking cohomology

Published on 04 Jul 2014 - 10:24

80

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In $\Bbb Z[x,y]$ is $(x^2+1,y^2+1,-xy+1)$ prime?

Published on 07 Jul 2014 - 0:01

635

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A question on smooth morphisms and 'pointwise' smooth morphisms

Published on 12 Jul 2014 - 22:57

1.7k

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Associated points and reduced scheme

Published on 13 Jul 2014 - 4:51

70

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Why is : $ \ \ V \times_U W = p^{-1} (V) \bigcap q^{-1} (W) $?

Published on 25 Mar 2026 - 16:08

195

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Why are morphisms of schemes locally given by ring homomorphisms?

Published on 03 Aug 2014 - 10:21

4.4k

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What are the prerequisites for Fulton's "Intersection Theory"?

Published on 26 Mar 2026 - 13:30

645

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Morphism schemes after base extension

Published on 12 Aug 2014 - 16:25

240

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Weil restriction for schemes

Published on 20 Aug 2014 - 13:12

76

Views

When is the map "attaching irreducible components" an effective isomorphism?

Published on 25 Mar 2026 - 6:19

List Question

Hartshorne ex III.10.2 on smooth morphisms

what are the "points" of the scheme $\mathbb{Z}_8[x] /(x^2 + 7)$

Surjective étale morphisms on points.

History of Algebraic Geometry: Motivation behind definition of schemes

The structure morphism of a projective variety induces a morphism of $k$-algeras

Finite pushforward commute with taking cohomology

In $\Bbb Z[x,y]$ is $(x^2+1,y^2+1,-xy+1)$ prime?

A question on smooth morphisms and 'pointwise' smooth morphisms

Associated points and reduced scheme

Why is : $ \ \ V \times_U W = p^{-1} (V) \bigcap q^{-1} (W) $?

Why are morphisms of schemes locally given by ring homomorphisms?

What are the prerequisites for Fulton's "Intersection Theory"?

Morphism schemes after base extension

Weil restriction for schemes

When is the map "attaching irreducible components" an effective isomorphism?

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