User Hailong Dao

15 votes

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Why are finitely generated modules over principal artin local rings direct sums of cyclic modules?

answered Apr 27, 2010 at 15:03

15 votes

Gaining intuition for how submodules behave

answered May 17, 2010 at 15:40

15 votes

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A local ring not a quotient of a regular local ring

answered Apr 14, 2010 at 4:39

15 votes

Applications of noncommutative geometry

answered Feb 7, 2010 at 18:17

15 votes

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Maximal Ideals in Formal Laurent Series Rings?

answered Mar 11, 2011 at 3:10

14 votes

Zero divisor conjecture and idempotent conjecture

answered Jul 27, 2010 at 3:21

14 votes

Why does the algebraic condition of flatness on the structure sheaves give a good definition of family?

answered Aug 10, 2010 at 17:23

14 votes

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Can projective hypersurfaces contain linear spaces? How big?

answered Feb 12, 2010 at 14:50

14 votes

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Is every smooth affine curve isomorphic to a smooth affine plane curve?

answered Dec 25, 2009 at 20:32

14 votes

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Why do modules with small support have high Exts?

answered May 23, 2010 at 16:10

14 votes

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Maximum number of common zeros of n polynomials in n-1 variables

answered Sep 28, 2020 at 16:25

14 votes

joint papers/collaboration, take two.

answered Sep 16, 2011 at 14:36

14 votes

Cohen-Macaulay domain with non-Cohen-Macaulay normalization?

answered Jun 20, 2011 at 0:38

13 votes

How to know if somebody else is also working on your problem?

answered Apr 27, 2010 at 15:34

13 votes

Vector bundles on $\mathbb{P}^1\times\mathbb{P}^1$

answered Apr 19, 2010 at 17:29

13 votes

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Is there a simple method to test a local ring to be Cohen Macaulay?

answered Jun 1, 2010 at 2:25

12 votes

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Line bundles vs. Cartier divisors on a non-integral scheme

answered Apr 21, 2010 at 17:42

12 votes

Your favorite surprising connections in mathematics

answered Feb 17, 2010 at 1:33

12 votes

Are schemes that "have enough locally frees" necessarily separated

answered May 18, 2010 at 23:11

12 votes

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When is a blow-up non-singular?

answered Apr 16, 2010 at 17:03

12 votes

How helpful is non-standard analysis?

answered Feb 24, 2010 at 23:00

12 votes

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Definition of Chow groups over Spec Z

answered Mar 9, 2010 at 20:14

12 votes

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Projective & injective dimensions

answered Aug 6, 2010 at 0:55

12 votes

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Differential graded structures on free resolution?

answered Sep 28, 2010 at 12:33

12 votes

Upper bound to the number of generators

answered Nov 19, 2010 at 4:33

12 votes

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example of Local cohomology

answered Aug 19, 2013 at 18:30

12 votes

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Two conjectures by Gabber on Brauer and Picard groups

answered Feb 13, 2021 at 3:19

11 votes

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Commutative algebras with modules of small complexity

answered Nov 10, 2019 at 15:02

11 votes

Noetherian local ring and the growth of $\dim_k \operatorname{Ext}^i(k,k)$

answered Oct 31, 2018 at 19:00

11 votes

Degree of the variety of independent matrices of rank $\leq r$?

answered Nov 1, 2018 at 20:42

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269 Answers

Why are finitely generated modules over principal artin local rings direct sums of cyclic modules?

Gaining intuition for how submodules behave

A local ring not a quotient of a regular local ring

Applications of noncommutative geometry

Maximal Ideals in Formal Laurent Series Rings?

Zero divisor conjecture and idempotent conjecture

Why does the algebraic condition of flatness on the structure sheaves give a good definition of family?

Can projective hypersurfaces contain linear spaces? How big?

Is every smooth affine curve isomorphic to a smooth affine plane curve?

Why do modules with small support have high Exts?

Maximum number of common zeros of n polynomials in n-1 variables

joint papers/collaboration, take two.

Cohen-Macaulay domain with non-Cohen-Macaulay normalization?

How to know if somebody else is also working on your problem?

Vector bundles on $\mathbb{P}^1\times\mathbb{P}^1$

Is there a simple method to test a local ring to be Cohen Macaulay?

Line bundles vs. Cartier divisors on a non-integral scheme

Your favorite surprising connections in mathematics

Are schemes that "have enough locally frees" necessarily separated

When is a blow-up non-singular?

How helpful is non-standard analysis?

Definition of Chow groups over Spec Z

Projective & injective dimensions

Differential graded structures on free resolution?

Upper bound to the number of generators

example of Local cohomology

Two conjectures by Gabber on Brauer and Picard groups

Commutative algebras with modules of small complexity

Noetherian local ring and the growth of $\dim_k \operatorname{Ext}^i(k,k)$

Degree of the variety of independent matrices of rank $\leq r$?