User Georges Elencwajg

17 votes

3 answers

1k views

How does one compute the space of algebraic global differential forms $\Omega^i(X)$ on an affine complex scheme $X$?

asked Sep 9, 2017 at 19:26

16 votes

3 answers

3k views

When is a holomorphic submersion with isomorphic fibers locally trivial?

asked Feb 26, 2011 at 14:00

16 votes

1 answer

943 views

The cohomology of a product of sheaves and a plea.

asked Jun 16, 2010 at 13:34

15 votes

1 answer

1k views

Who first cared about singular points?

asked Feb 21, 2012 at 13:50

14 votes

2 answers

2k views

What is the top cohomology group of a non-compact, non-orientable manifold?

asked May 27, 2021 at 0:01

13 votes

1 answer

4k views

Is there another controversial statement by Grothendieck apart from 57 being prime?

asked Jan 11, 2023 at 19:15

13 votes

1 answer

1k views

Is every algebraic extension of a field of absolute transcendence degree one a separable extension of a purely inseparable extension?

asked Jul 11, 2011 at 9:33

12 votes

1 answer

788 views

Does de Branges's theorem extend to several variables?

asked Mar 18, 2011 at 14:04

12 votes

2 answers

2k views

Is every locally free module of rank $1$ over a commutative ring concretely invertible?

asked Dec 21, 2019 at 22:08

12 votes

1 answer

419 views

Is height preserved in a normalization?

asked Feb 8, 2018 at 21:27

11 votes

0 answers

878 views

Who proved the exactness of Amitsur's complex ?

asked Mar 4, 2010 at 19:14

9 votes

3 answers

1k views

Vector spaces with natural bases

asked Jul 18, 2010 at 23:29

9 votes

1 answer

676 views

What are the rational functions on a noetherian affine scheme?

asked Mar 28, 2022 at 23:29

7 votes

2 answers

515 views

Even, non liftable Stiefel-Whitney class

asked Apr 8, 2021 at 8:46

7 votes

2 answers

1k views

Non-zero sheaf cohomology

asked Oct 11, 2009 at 12:38

6 votes

2 answers

1k views

Is "normal scheme" defined in EGA?

asked Sep 27, 2011 at 11:51

5 votes

1 answer

199 views

Finding a volume form on a fibre of a submersion between oriented manifolds

asked May 10, 2021 at 20:18

4 votes

1 answer

1k views

Is the transcendence degree of a domain over a subfield the same as that of the fraction field of that domain?

asked Sep 12, 2011 at 13:05

3 votes

1 answer

200 views

Does a regular pair of elements in a noetherian domain remain regular if their order is switched?

asked Oct 27, 2011 at 15:25

3 votes

0 answers

95 views

Complete intersections in complex manifolds

asked Jan 28, 2022 at 21:04

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50 Questions

How does one compute the space of algebraic global differential forms $\Omega^i(X)$ on an affine complex scheme $X$?

When is a holomorphic submersion with isomorphic fibers locally trivial?

The cohomology of a product of sheaves and a plea.

Who first cared about singular points?

What is the top cohomology group of a non-compact, non-orientable manifold?

Is there another controversial statement by Grothendieck apart from 57 being prime?

Is every algebraic extension of a field of absolute transcendence degree one a separable extension of a purely inseparable extension?

Does de Branges's theorem extend to several variables?

Is every locally free module of rank $1$ over a commutative ring concretely invertible?

Is height preserved in a normalization?

Who proved the exactness of Amitsur's complex ?

Vector spaces with natural bases

What are the rational functions on a noetherian affine scheme?

Even, non liftable Stiefel-Whitney class

Non-zero sheaf cohomology

Is "normal scheme" defined in EGA?

Finding a volume form on a fibre of a submersion between oriented manifolds

Is the transcendence degree of a domain over a subfield the same as that of the fraction field of that domain?

Does a regular pair of elements in a noetherian domain remain regular if their order is switched?

Complete intersections in complex manifolds