User shenghao

24 votes

4 answers

3k 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

17 votes

2 answers

3k views

comparison of de Rham cohomology and etale cohomology

asked Dec 1, 2010 at 21:47

15 votes

0 answers

722 views

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

asked May 17, 2011 at 13:11

12 votes

1 answer

1k views

Hodge structures on algebraic spaces

asked Dec 19, 2010 at 0:05

11 votes

4 answers

2k views

Picard group of reducible varieties

asked Mar 2, 2011 at 16:38

11 votes

1 answer

1k views

blow-up proper varieties to projective ones

asked Jan 29, 2011 at 12:17

10 votes

3 answers

2k views

Analytic continuation of holomorphic functions

asked May 27, 2010 at 1:02

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

504 views

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

asked Mar 31, 2011 at 17:35

10 votes

1 answer

609 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

8 votes

1 answer

776 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

7 votes

0 answers

534 views

intersection theory on proper algebraic spaces

asked Dec 6, 2010 at 19:45

7 votes

0 answers

875 views

Poincaré duality for intersection cohomology

asked Mar 7, 2011 at 17:27

7 votes

3 answers

2k views

Tensor product of simple representations

asked Mar 9, 2011 at 21:06

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

714 views

affine morphism

asked Nov 8, 2010 at 14:09

7 votes

0 answers

727 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

572 views

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

asked Jun 16, 2011 at 15:50

6 votes

1 answer

2k views

References on semismall maps

asked Aug 14, 2011 at 15:31

6 votes

2 answers

595 views

Is the weight filtration a topological invariant?

asked Apr 20, 2011 at 13:06

6 votes

2 answers

1k views

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

asked Nov 20, 2011 at 8:11

6 votes

2 answers

1k views

Does every regular Noetherian domain have finite Krull dimension?

asked Jan 23, 2013 at 7:09

6 votes

1 answer

1k views

monodromy and global cohomology

asked May 3, 2010 at 6:31

6 votes

1 answer

383 views

finite quotients of fundamental groups in positive characteristic

asked Mar 16, 2011 at 18:36

5 votes

0 answers

125 views

global units on moduli spaces of abelian varieties

asked Jan 28, 2011 at 12:02

5 votes

1 answer

3k views

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

asked Mar 30, 2010 at 23:27

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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

Hodge structures on algebraic spaces

Picard group of reducible varieties

blow-up proper varieties to projective ones

Analytic continuation of holomorphic functions

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

References on Moishezon spaces in English/French

The automorphism group of a hyperelliptic curve

intersection theory on proper algebraic spaces

Poincaré duality for intersection cohomology

Tensor product of simple representations

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

affine morphism

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 `$H^(X)$`?

References on semismall maps

Is the weight filtration a topological invariant?

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

Does every regular Noetherian domain have finite Krull dimension?

monodromy and global cohomology

finite quotients of fundamental groups in positive characteristic

global units on moduli spaces of abelian varieties

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