User shenghao

25 votes

4 answers

4k views

What are the automorphism groups of (principally polarized) abelian varieties?

asked Nov 1, 2009 at 23:28

22 votes

3 answers

5k views

The algebraic fundamental group of a reductive algebraic group

asked Dec 13, 2010 at 16:49

18 votes

2 answers

3k views

comparison of de Rham cohomology and etale cohomology

asked Dec 1, 2010 at 21:47

15 votes

0 answers

758 views

Lifting varieties from char. $p$ to char. 0 after alterations

asked May 17, 2011 at 13:11

14 votes

3 answers

3k views

Analytic continuation of holomorphic functions

asked May 27, 2010 at 1:02

12 votes

1 answer

1k views

Hodge structures on algebraic spaces

asked Dec 19, 2010 at 0:05

11 votes

1 answer

2k views

blow-up proper varieties to projective ones

asked Jan 29, 2011 at 12:17

11 votes

4 answers

2k views

Picard group of reducible varieties

asked Mar 2, 2011 at 16:38

10 votes

1 answer

1k views

A faithful representation "generates" all the other representations

asked Oct 3, 2010 at 13:03

10 votes

1 answer

531 views

"geometric" interpretation of the alternating sum of intersection cohomology groups

asked Mar 31, 2011 at 17:35

10 votes

1 answer

633 views

Is there an explicit example of a coefficient sheaf for which hard Lefschetz fails?

asked Aug 5, 2012 at 9:05

9 votes

4 answers

1k views

cohomology of moduli spaces

asked Oct 16, 2009 at 21:59

9 votes

1 answer

1k views

coarse moduli space of DM stacks

asked Jan 21, 2010 at 5:09

9 votes

3 answers

2k views

Tensor product of simple representations

asked Mar 9, 2011 at 21:06

8 votes

1 answer

843 views

References on Moishezon spaces in English/French

asked Jan 11, 2011 at 0:38

8 votes

3 answers

3k views

The automorphism group of a hyperelliptic curve

asked Nov 25, 2010 at 18:05

8 votes

2 answers

2k views

Does every regular Noetherian domain have finite Krull dimension?

asked Jan 23, 2013 at 7:09

8 votes

2 answers

1k views

Does S^6 have the structure of an algebraic variety?

asked Nov 20, 2011 at 8:11

7 votes

0 answers

780 views

What is the decomposition group at $p$ in the Galois group unramified outside $\ell?$

asked Oct 16, 2014 at 15:12

7 votes

1 answer

590 views

Does intersection pairing on `$IH^(X)$` agree with cup-product on `$H^(X)$`?

asked Jun 16, 2011 at 15:50

7 votes

0 answers

554 views

intersection theory on proper algebraic spaces

asked Dec 6, 2010 at 19:45

7 votes

0 answers

904 views

Poincaré duality for intersection cohomology

asked Mar 7, 2011 at 17:27

7 votes

3 answers

2k views

Is the inertia stack of a Deligne-Mumford stack always finite?

asked Jan 21, 2010 at 1:15

7 votes

1 answer

720 views

affine morphism

asked Nov 8, 2010 at 14:09

7 votes

1 answer

3k views

Is there a general projection formula for morphisms of ringed topoi?

asked Mar 30, 2010 at 23:27

6 votes

1 answer

1k views

monodromy and global cohomology

asked May 3, 2010 at 6:31

6 votes

1 answer

392 views

finite quotients of fundamental groups in positive characteristic

asked Mar 16, 2011 at 18:36

6 votes

1 answer

2k views

References on semismall maps

asked Aug 14, 2011 at 15:31

6 votes

2 answers

607 views

Is the weight filtration a topological invariant?

asked Apr 20, 2011 at 13:06

5 votes

0 answers

126 views

global units on moduli spaces of abelian varieties

asked Jan 28, 2011 at 12:02

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52 Questions

What are the automorphism groups of (principally polarized) abelian varieties?

The algebraic fundamental group of a reductive algebraic group

comparison of de Rham cohomology and etale cohomology

Lifting varieties from char. $p$ to char. 0 after alterations

Analytic continuation of holomorphic functions

Hodge structures on algebraic spaces

blow-up proper varieties to projective ones

Picard group of reducible varieties

A faithful representation "generates" all the other representations

"geometric" interpretation of the alternating sum of intersection cohomology groups

Is there an explicit example of a coefficient sheaf for which hard Lefschetz fails?

cohomology of moduli spaces

coarse moduli space of DM stacks

Tensor product of simple representations

References on Moishezon spaces in English/French

The automorphism group of a hyperelliptic curve

Does every regular Noetherian domain have finite Krull dimension?

Does S^6 have the structure of an algebraic variety?

What is the decomposition group at $p$ in the Galois group unramified outside $\ell?$

Does intersection pairing on `$IH^(X)$` agree with cup-product on `$H^(X)$`?

intersection theory on proper algebraic spaces

Poincaré duality for intersection cohomology

Is the inertia stack of a Deligne-Mumford stack always finite?

affine morphism

Is there a general projection formula for morphisms of ringed topoi?

monodromy and global cohomology

finite quotients of fundamental groups in positive characteristic

References on semismall maps

Is the weight filtration a topological invariant?

global units on moduli spaces of abelian varieties