User Honglu

39 votes

1 answer

2k views

$V$, $W$ are varieties. Does $V\times \mathbf{P}^1=W\times \mathbf{P}^1$ imply $V=W$?

asked Oct 15, 2011 at 7:34

15 votes

4 answers

2k views

A combinatorial identity

asked Aug 13, 2017 at 11:29

8 votes

2 answers

2k views

Can we deduce that two rings $R_1$ and $R_2$ are isomorphic if their polynomial ring are isomorphic?

asked Dec 8, 2010 at 13:39

8 votes

2 answers

606 views

Can a smooth, immersed loop in R^2 become not nullhomotopic by removing a point?

asked Mar 11, 2011 at 9:40

8 votes

4 answers

928 views

How does all of the bundles over a certain manifold characterize the homotopy class of the base manifold?

asked Apr 20, 2011 at 4:30

4 votes

2 answers

297 views

Connectedness of moduli of vector bundles

asked Sep 2, 2015 at 5:01

3 votes

1 answer

332 views

Hypersurfaces without variable cohomology

asked Jan 28, 2016 at 1:24

2 votes

0 answers

311 views

Hypersurfaces covered by high genus curves

asked Jun 2, 2016 at 13:15

2 votes

2 answers

395 views

Contractible noncompact 3-manifold without boundary not homeomorphic to $\Bbb R^3$

asked Nov 24, 2011 at 15:19

2 votes

0 answers

195 views

Finite resolution by sums of line bundles on toric varieties

asked Jan 20, 2015 at 3:28

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10 Questions

$V$, $W$ are varieties. Does $V\times \mathbf{P}^1=W\times \mathbf{P}^1$ imply $V=W$?

A combinatorial identity

Can we deduce that two rings $R_1$ and $R_2$ are isomorphic if their polynomial ring are isomorphic?

Can a smooth, immersed loop in R^2 become not nullhomotopic by removing a point?

How does all of the bundles over a certain manifold characterize the homotopy class of the base manifold?

Connectedness of moduli of vector bundles

Hypersurfaces without variable cohomology

Hypersurfaces covered by high genus curves

Contractible noncompact 3-manifold without boundary not homeomorphic to $\Bbb R^3$

Finite resolution by sums of line bundles on toric varieties