Question

if the Hilbert polynomial of coherent sheaf is constant number,then locally free?

score 738 · Answer 1 · 2026-03-21 21:55:59

738

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if the Hilbert polynomial of coherent sheaf is constant number,then locally free?

Published on 21 Mar 2026 - 21:55

score 249 · Answer 2 · 2016-04-06 08:49:48

249

Views

Is Coherent sheaf acyclic?

Published on 06 Apr 2016 - 8:49

score 150 · Answer 3 · 2016-04-18 15:42:39

150

Views

Section of a coherent sheaf vanishing outside a point

Published on 18 Apr 2016 - 15:42

score 137 · Answer 4 · 2016-04-23 15:37:57

137

Views

If a divisor $D$ satisfies that $D^{2}=1$, is it true that the morphism induced by $|D|$ is birational?

Published on 23 Apr 2016 - 15:37

score 502 · Answer 5 · 2016-06-15 11:17:10

502

Views

Pushforward of sheaves on the blowup of $\mathbb A^2$ to $\mathbb P^1$

Published on 15 Jun 2016 - 11:17

score 471 · Answer 6 · 2026-03-11 19:34:59

471

Views

Cohomologies with line bundle vs. coherent coefficients

Published on 11 Mar 2026 - 19:34

score 181 · Answer 7 · 2016-06-18 07:25:03

181

Views

Coherent sheaves with no cohomology over a hypersurface

Published on 18 Jun 2016 - 7:25

score 103 · Answer 8 · 2026-03-26 06:20:27

103

Views

Do there exist torsion sheaf over moduli spaces?

Published on 26 Mar 2026 - 6:20

score 452 · Answer 9 · 2013-04-08 01:23:32

452

Views

Example of a coherent sheaf on an open subset where extension isn't trivial?

Published on 08 Apr 2013 - 1:23

score 560 · Answer 10 · 2013-04-12 18:09:55

560

Views

Reality check: $\mathcal{O}_{\mathbb{P}_\mathbb{R}^1}(1)$ and $\mathcal{O}_{\mathbb{P}_\mathbb{R}^1}(-1)$ are both Möbius strips?

Published on 12 Apr 2013 - 18:09

score 94 · Answer 11 · 2013-05-05 18:44:50

94

Views

Questions about the details in the construction of virtual fundamental class

Published on 05 May 2013 - 18:44

score 92 · Answer 12 · 2013-09-15 14:21:01

92

Views

Coherent sheaves on $\mathbb P^r$ of very high and very low dimension

Published on 15 Sep 2013 - 14:21

score 57 · Answer 13 · 2013-10-16 14:01:39

57

Views

When does one have $f_\ast(Im(a))=Im(f_\ast a)$?

Published on 16 Oct 2013 - 14:01

score 1.7k · Answer 14 · 2013-11-04 17:15:10

1.7k

Views

Pushforward commutes with external tensor product?

Published on 04 Nov 2013 - 17:15

score 1.4k · Answer 15 · 2013-11-12 23:01:52

1.4k

Views

Reflexive sheaves and determinants

Published on 12 Nov 2013 - 23:01

List Question

if the Hilbert polynomial of coherent sheaf is constant number,then locally free?

Is Coherent sheaf acyclic?

Section of a coherent sheaf vanishing outside a point

If a divisor $D$ satisfies that $D^{2}=1$, is it true that the morphism induced by $|D|$ is birational?

Pushforward of sheaves on the blowup of $\mathbb A^2$ to $\mathbb P^1$

Cohomologies with line bundle vs. coherent coefficients

Coherent sheaves with no cohomology over a hypersurface

Do there exist torsion sheaf over moduli spaces?

Example of a coherent sheaf on an open subset where extension isn't trivial?

Reality check: $\mathcal{O}_{\mathbb{P}_\mathbb{R}^1}(1)$ and $\mathcal{O}_{\mathbb{P}_\mathbb{R}^1}(-1)$ are both Möbius strips?

Questions about the details in the construction of virtual fundamental class

Coherent sheaves on $\mathbb P^r$ of very high and very low dimension

When does one have $f_\ast(Im(a))=Im(f_\ast a)$?

Pushforward commutes with external tensor product?

Reflexive sheaves and determinants

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