Question

Characterization of locally constant sheaves in terms of image functors

score 205 · Answer 1 · 2017-04-25 00:29:30

205

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Characterization of locally constant sheaves in terms of image functors

Published on 25 Apr 2017 - 0:29

score 99 · Answer 2 · 2026-03-26 20:41:54

99

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For a sheaf $F$ on $X$ and subspace $Z \hookrightarrow X$, why is $\mathbf{R}\Gamma(Z, F)$ possibly different from $\mathbf{R}\Gamma(Z,F|_Z)$?

Published on 26 Mar 2026 - 20:41

score 72 · Answer 3 · 2017-04-26 08:02:47

72

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Prove that a covariant functor which satisfies 2 conditions is a cosheaf

Published on 26 Apr 2017 - 8:02

score 634 · Answer 4 · 2026-03-26 01:00:30

634

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Asymptotic Riemann Roch

Published on 26 Mar 2026 - 1:00

score 84 · Answer 5 · 2017-05-02 12:13:56

84

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Sheaves and isomorphisms with chain complex of singular chains (Sheaf Theory, Bredon)

Published on 02 May 2017 - 12:13

score 272 · Answer 6 · 2017-05-03 13:36:46

272

Views

Non constant sheaf on a contractible space

Published on 03 May 2017 - 13:36

score 257 · Answer 7 · 2026-03-26 12:58:13

257

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Cech cohomology and Bézout's Theorem

Published on 26 Mar 2026 - 12:58

score 281 · Answer 8 · 2017-05-06 17:58:11

281

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When the kernel of a quotient of a locally free sheaf is locally free

Published on 06 May 2017 - 17:58

score 66 · Answer 9 · 2017-05-08 18:29:44

66

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$H^0(X,\mathcal{F})=\mathcal{F}(X)$

Published on 08 May 2017 - 18:29

score 70 · Answer 10 · 2026-03-27 23:52:19

70

Views

Cycle of curves

Published on 27 Mar 2026 - 23:52

score 105 · Answer 11 · 2017-05-27 18:55:31

105

Views

Why the presheaf image of an injective morphism of sheaves is automatically a sheaf?

Published on 27 May 2017 - 18:55

score 40 · Answer 12 · 2017-05-30 14:33:55

40

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Is there a complex analogue of the covering dimension?

Published on 30 May 2017 - 14:33

score 77 · Answer 13 · 2026-03-25 22:06:23

77

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the natural isomorphism $H^0(\mathbb P^n, T_{\mathbb P^n}(-1)) \cong H^0(\mathbb P^n, \mathcal O_{\mathbb P^n}(1))^\vee $

Published on 25 Mar 2026 - 22:06

score 376 · Answer 14 · 2026-03-26 14:42:29

376

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Local-to-Global Spectral Sequence for locally free resolution

Published on 26 Mar 2026 - 14:42

score 86 · Answer 15 · 2017-06-07 20:42:40

86

Views

How can I find a resolution of $\Omega^i_X$ for a projective smooth complete intersection $X$?

Published on 07 Jun 2017 - 20:42

List Question

Characterization of locally constant sheaves in terms of image functors

For a sheaf $F$ on $X$ and subspace $Z \hookrightarrow X$, why is $\mathbf{R}\Gamma(Z, F)$ possibly different from $\mathbf{R}\Gamma(Z,F|_Z)$?

Prove that a covariant functor which satisfies 2 conditions is a cosheaf

Asymptotic Riemann Roch

Sheaves and isomorphisms with chain complex of singular chains (Sheaf Theory, Bredon)

Non constant sheaf on a contractible space

Cech cohomology and Bézout's Theorem

When the kernel of a quotient of a locally free sheaf is locally free

$H^0(X,\mathcal{F})=\mathcal{F}(X)$

Cycle of curves

Why the presheaf image of an injective morphism of sheaves is automatically a sheaf?

Is there a complex analogue of the covering dimension?

the natural isomorphism $H^0(\mathbb P^n, T_{\mathbb P^n}(-1)) \cong H^0(\mathbb P^n, \mathcal O_{\mathbb P^n}(1))^\vee $

Local-to-Global Spectral Sequence for locally free resolution

How can I find a resolution of $\Omega^i_X$ for a projective smooth complete intersection $X$?

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