List questions from sheaf-cohomology

Published on 02 Jan 2014 - 0:56

80

Views

$\operatorname{Hom}(f^F, G) = \operatorname{Hom}(F, f_G)$

Published on 26 Mar 2026 - 14:34

997

Views

Sheaf cohomology of projective spaces

Published on 16 Jan 2014 - 17:56

1k

Views

Local cohomology with respect to a point. (Hartshorne III Ex 2.5)

Published on 25 Mar 2026 - 11:04

351

Views

Castelnuovo's rationality criterion following Beauville

Published on 26 Mar 2026 - 6:21

452

Views

Ideal sheaf on a surface

Published on 03 Feb 2014 - 22:55

850

Views

Does closed immersion induce surjection of global section

Published on 04 Feb 2014 - 19:15

244

Views

Flabby sheaf comonad

Published on 27 Mar 2026 - 11:05

296

Views

Vanishing of $R^1f_*\mathcal O_X$

Published on 14 Feb 2014 - 16:42

112

Views

Cech cohomology

Published on 02 Mar 2014 - 18:21

65

Views

$H^k(\mathbb{C}P^2 \times \mathbb{C}P^2, \mathcal{O}^*(\mathbb{C}P^2 \times \mathbb{C}P^2))$

Published on 11 Mar 2014 - 8:52

182

Views

Non-trivial extensions with trivial connecting homomorphism in long exact sequence?

Published on 14 Apr 2017 - 8:40

566

Views

Sheaf cohomology of tensor product

Published on 17 Apr 2017 - 22:37

127

Views

Genus of a plane curve cut out by a quintic

Published on 18 Apr 2017 - 19:09

76

Views

Sheaf cohomological dimension of direct product of topological spaces

Published on 21 Apr 2017 - 13:02

List Question

Reference for Cech cohomology on sites (not pre-topologies)

$\operatorname{Hom}(f^F, G) = \operatorname{Hom}(F, f_G)$

Sheaf cohomology of projective spaces

Local cohomology with respect to a point. (Hartshorne III Ex 2.5)

Castelnuovo's rationality criterion following Beauville

Ideal sheaf on a surface

Does closed immersion induce surjection of global section

Flabby sheaf comonad

Vanishing of $R^1f_*\mathcal O_X$

Cech cohomology

$H^k(\mathbb{C}P^2 \times \mathbb{C}P^2, \mathcal{O}^*(\mathbb{C}P^2 \times \mathbb{C}P^2))$

Non-trivial extensions with trivial connecting homomorphism in long exact sequence?

Sheaf cohomology of tensor product

Genus of a plane curve cut out by a quintic

Sheaf cohomological dimension of direct product of topological spaces

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