User Karl Schwede

67 votes

Is there a "geometric" intuition underlying the notion of normal varieties?

answered Oct 12, 2012 at 19:57

41 votes

Is primary decomposition still important?

answered Aug 21, 2012 at 19:26

38 votes

Accepted

What is the definition of exceptional divisor？

answered Apr 5, 2012 at 14:24

32 votes

Accepted

Why Cohen-Macaulay rings have become important in commutative algebra?

answered Jul 31, 2013 at 4:04

25 votes

Accepted

How to define the canonical sheaf on singular varieties

answered Jun 10, 2013 at 2:11

24 votes

Blackbox Theorems

answered Jun 13, 2012 at 21:43

23 votes

Is the blowup of a normal scheme necessarily normal?

answered Sep 4, 2010 at 23:12

22 votes

Examples of interesting false proofs

answered Apr 21, 2012 at 14:49

21 votes

Accepted

What formal properties should resolution of singularities have?

answered Dec 13, 2010 at 1:28

19 votes

Accepted

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

answered Jun 20, 2011 at 0:07

18 votes

Accepted

Frobenius splitting of Fano varieties

answered Sep 13, 2012 at 13:00

17 votes

Top cohomology of resolution of singularities

answered Sep 23, 2012 at 6:04

17 votes

Submitting papers “out of logical order” due to different review times or rejections

answered May 26, 2012 at 23:38

17 votes

A geometric reference for (affine) Gorenstein varieties and singularities

answered Mar 6, 2011 at 12:23

17 votes

What are some open problems in algebraic geometry?

answered Aug 31, 2010 at 0:57

16 votes

open but not affine subscheme?example?

answered Nov 26, 2010 at 19:10

16 votes

When will the pushforward of a structure sheaf still be a structure sheaf?

answered Apr 28, 2011 at 21:14

16 votes

Accepted

Blow-up along a subscheme and along its associated reduced closed subscheme

answered Mar 8, 2012 at 4:30

16 votes

A "geometric" insight into a proof of Krull intersection theorem?

answered Oct 8, 2012 at 18:57

15 votes

motivation for multiplier ideal sheaves

answered Sep 23, 2013 at 13:36

15 votes

On Q-Cartier Divisors

answered Mar 24, 2015 at 16:10

14 votes

Accepted

Obtaining non-normal varieties by pushout

answered Nov 9, 2014 at 20:23

14 votes

Accepted

When do blowups ''commute''?

answered Sep 7, 2012 at 12:43

14 votes

When (if ever) disclose your identity as a reviewer?

answered May 31, 2012 at 0:38

14 votes

Is there an analog of Kodaira vanishing for singular varieties

answered Oct 14, 2011 at 15:50

14 votes

Life after Hartshorne (the book, not the person)...

answered Apr 13, 2011 at 12:39

14 votes

Algebraic geometry examples

answered Aug 2, 2010 at 0:21

14 votes

What are some open problems in algebraic geometry?

answered Aug 31, 2010 at 0:45

14 votes

Accepted

Dualizing sheaf of reducible variety?

answered Apr 10, 2010 at 20:35

13 votes

Accepted

Higher direct images and singular varieties

answered Jun 26, 2010 at 22:41

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292 Answers

Is there a "geometric" intuition underlying the notion of normal varieties?

Is primary decomposition still important?

What is the definition of exceptional divisor？

Why Cohen-Macaulay rings have become important in commutative algebra?

How to define the canonical sheaf on singular varieties

Blackbox Theorems

Is the blowup of a normal scheme necessarily normal?

Examples of interesting false proofs

What formal properties should resolution of singularities have?

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

Frobenius splitting of Fano varieties

Top cohomology of resolution of singularities

Submitting papers “out of logical order” due to different review times or rejections

A geometric reference for (affine) Gorenstein varieties and singularities

What are some open problems in algebraic geometry?

open but not affine subscheme?example?

When will the pushforward of a structure sheaf still be a structure sheaf?

Blow-up along a subscheme and along its associated reduced closed subscheme

A "geometric" insight into a proof of Krull intersection theorem?

motivation for multiplier ideal sheaves

On Q-Cartier Divisors

Obtaining non-normal varieties by pushout

When do blowups ''commute''?

When (if ever) disclose your identity as a reviewer?

Is there an analog of Kodaira vanishing for singular varieties

Life after Hartshorne (the book, not the person)...

Algebraic geometry examples

What are some open problems in algebraic geometry?

Dualizing sheaf of reducible variety?

Higher direct images and singular varieties