Question

Sheaf of divisor divisor $rH+sE$ on blowup $\operatorname{Bl}_0(\mathbb{P}^2)$ has basepoints but is generated by global sections?

score 60 · Answer 1 · 2026-03-26 17:37:32

60

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Sheaf of divisor divisor $rH+sE$ on blowup $\operatorname{Bl}_0(\mathbb{P}^2)$ has basepoints but is generated by global sections?

Published on 26 Mar 2026 - 17:37

score 264 · Answer 2 · 2026-03-26 17:52:34

264

Views

Is a sheaf, which is flasque when restricted to any open affine necessarily flasque?

Published on 26 Mar 2026 - 17:52

score 48 · Answer 3 · 2026-03-26 16:04:55

48

Views

Quartic in the projective space and exact sequence of sheaves

Published on 26 Mar 2026 - 16:04

score 144 · Answer 4 · 2026-03-27 04:58:57

144

Views

Is $f^*E|_{f^{-1}(y)}$ a trivial sheaf for a holomorphic map $f: X\to Y$?

Published on 27 Mar 2026 - 4:58

score 81 · Answer 5 · 2021-10-18 12:31:05

81

Views

Meaning of a the notation $P(E)$, where $E$ is a sheaf.

Published on 18 Oct 2021 - 12:31

score 662 · Answer 6 · 2021-10-19 09:40:47

662

Views

Topology on etale space of presheaf

Published on 19 Oct 2021 - 9:40

score 244 · Answer 7 · 2026-03-29 05:10:38

244

Views

Hartshorne problem III.4.4

Published on 29 Mar 2026 - 5:10

score 502 · Answer 8 · 2026-03-28 06:09:07

502

Views

Example of scheme which is not an affine scheme

Published on 28 Mar 2026 - 6:09

score 336 · Answer 9 · 2026-03-26 06:27:52

336

Views

Definition of the anticanonical bundle and references

Published on 26 Mar 2026 - 6:27

score 86 · Answer 10 · 2021-10-23 00:23:29

86

Views

Isomorphism of sheaves iff injective and surjective

Published on 23 Oct 2021 - 0:23

score 49 · Answer 11 · 2026-03-29 03:36:30

49

Views

Can one recover the set of connected components through the global sections of a locally constant sheaf?

Published on 29 Mar 2026 - 3:36

score 133 · Answer 12 · 2021-10-27 14:27:13

133

Views

Fundamental grupoid as a locally constant sheaf

Published on 27 Oct 2021 - 14:27

score 66 · Answer 13 · 2026-03-28 06:10:21

66

Views

When is the closed subscheme of $\Bbb P^n_{\Bbb C}$ cut out by a homogeneous polynomial $f$ integral?

Published on 28 Mar 2026 - 6:10

score 192 · Answer 14 · 2026-03-27 05:04:06

192

Views

Hartshorne problem III.4.10

Published on 27 Mar 2026 - 5:04

score 106 · Answer 15 · 2026-04-04 18:27:57

106

Views

Characterization of stalk functors on category of sheaves over a space, and over a locale

Published on 04 Apr 2026 - 18:27

List Question

Sheaf of divisor divisor $rH+sE$ on blowup $\operatorname{Bl}_0(\mathbb{P}^2)$ has basepoints but is generated by global sections?

Is a sheaf, which is flasque when restricted to any open affine necessarily flasque?

Quartic in the projective space and exact sequence of sheaves

Is $f^*E|_{f^{-1}(y)}$ a trivial sheaf for a holomorphic map $f: X\to Y$?

Meaning of a the notation $P(E)$, where $E$ is a sheaf.

Topology on etale space of presheaf

Hartshorne problem III.4.4

Example of scheme which is not an affine scheme

Definition of the anticanonical bundle and references

Isomorphism of sheaves iff injective and surjective

Can one recover the set of connected components through the global sections of a locally constant sheaf?

Fundamental grupoid as a locally constant sheaf

When is the closed subscheme of $\Bbb P^n_{\Bbb C}$ cut out by a homogeneous polynomial $f$ integral?

Hartshorne problem III.4.10

Characterization of stalk functors on category of sheaves over a space, and over a locale

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