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10 votes

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Is "stackiness" transitive? (and a couple other basic questions about stacks)

answered Jan 8, 2014 at 2:28

9 votes

What is your picture of the flat topology?

answered Dec 21, 2013 at 16:15

7 votes

Pure morphisms which are not faithfully flat

answered Dec 30, 2013 at 2:00

7 votes

coherent modules

answered Mar 9, 2014 at 12:26

5 votes

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Definition of a complex space

answered Jan 15, 2014 at 21:06

5 votes

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Computing cotangent complex

answered Dec 30, 2013 at 3:36

5 votes

Is there a direct proof that affine schemes are fppf quasi-compact?

answered Dec 22, 2013 at 3:21

5 votes

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Can a single DVR witness all specializations on a variety?

answered Dec 22, 2013 at 1:14

5 votes

Tame morphism from a curve to $\mathbb{P}^1$

answered Dec 21, 2013 at 16:41

4 votes

Some questions on vanishing of Ext sheaves

answered Mar 7, 2014 at 1:30

3 votes

Poincaré bundle and Weil pairing for Abelian schemes

answered Mar 7, 2014 at 12:48

3 votes

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Canonical lifts from $\mathbb F_q$ and CM-theory

answered Apr 13, 2014 at 16:19

3 votes

Formal criterion of flatness

answered Dec 21, 2013 at 17:27

3 votes

Geometric interpretation of a (standard) commutative algebra fact

answered Dec 21, 2013 at 15:50

3 votes

Fiber functors to derived categories

answered Dec 22, 2013 at 3:45

3 votes

What is the geometric meaning of content or intersection flatness?

answered Dec 23, 2013 at 3:52

3 votes

Noether's normalization lemma over a ring A

answered Dec 30, 2013 at 2:33

2 votes

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A construction of Kähler differentials and Illusie cotangent complex as colimit over embeddings

answered Dec 21, 2013 at 13:42

2 votes

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formally étale morphisms which are also universally closed

answered Dec 21, 2013 at 14:52

2 votes

$I/N$ is finitely presented module

answered Dec 21, 2013 at 14:59

2 votes

Which algebras can be presented as filtered colimits of f.g. regular ones with smooth connecting morphisms?

answered Jan 17, 2014 at 21:50

1 vote

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A geometric characterization of Rees algebras in categories without Choice

answered Feb 2, 2014 at 2:01

1 vote

A natural bijection between the orbit spaces of $p$-nilpotent matrices for varying $p$

answered Feb 5, 2014 at 23:53

1 vote

Smoothness and Kähler differentials

answered Dec 30, 2013 at 23:41

1 vote

Degree of a projective scheme and its defining equations

answered Dec 21, 2013 at 15:08

1 vote

Faithful-flatness for maps of formal power series rings

answered Dec 21, 2013 at 15:46

1 vote

Two-variable polynomials, irreducible as formal power series

answered Dec 21, 2013 at 17:50

1 vote

Obstruction map for local singularities via tangent (Andre-Quillen) cohomology

answered Dec 30, 2013 at 3:22

1 vote

Example of a reduced ring whose completion is not reduced

answered Dec 21, 2013 at 16:00

1 vote

Artin/Popescu approximation for (some) big rings

answered Dec 22, 2013 at 2:08

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31 Answers

Is "stackiness" transitive? (and a couple other basic questions about stacks)

What is your picture of the flat topology?

Pure morphisms which are not faithfully flat

coherent modules

Definition of a complex space

Computing cotangent complex

Is there a direct proof that affine schemes are fppf quasi-compact?

Can a single DVR witness all specializations on a variety?

Tame morphism from a curve to $\mathbb{P}^1$

Some questions on vanishing of Ext sheaves

Poincaré bundle and Weil pairing for Abelian schemes

Canonical lifts from $\mathbb F_q$ and CM-theory

Formal criterion of flatness

Geometric interpretation of a (standard) commutative algebra fact

Fiber functors to derived categories

What is the geometric meaning of content or intersection flatness?

Noether's normalization lemma over a ring A

A construction of Kähler differentials and Illusie cotangent complex as colimit over embeddings

formally étale morphisms which are also universally closed

$I/N$ is finitely presented module

Which algebras can be presented as filtered colimits of f.g. regular ones with smooth connecting morphisms?

A geometric characterization of Rees algebras in categories without Choice

A natural bijection between the orbit spaces of $p$-nilpotent matrices for varying $p$

Smoothness and Kähler differentials

Degree of a projective scheme and its defining equations

Faithful-flatness for maps of formal power series rings

Two-variable polynomials, irreducible as formal power series

Obstruction map for local singularities via tangent (Andre-Quillen) cohomology

Example of a reduced ring whose completion is not reduced

Artin/Popescu approximation for (some) big rings