List questions from quasicoherent-sheaves

Published on 28 May 2015 - 12:55

481

Views

Why is the sheaf $\mathcal{O}_X(n)$ called the "twisting sheaf" (where $X=\operatorname{Proj}(S)$ for a graded ring $S$)?

Published on 03 Jul 2015 - 0:36

218

Views

When are direct products exact in the category of quasi-coherent sheaves?

Published on 16 Jul 2015 - 13:23

827

Views

Quasicoherent sheaves as smallest abelian category containing locally free sheaves

Published on 25 Mar 2026 - 18:25

412

Views

Vector bundles in Ravi Vakil's notes on quasicoherent sheaves

Published on 17 Aug 2015 - 17:03

2.5k

Views

Why did Serre choose coherent sheaves?

Published on 17 Aug 2015 - 17:22

166

Views

Reference Request: Quasi-Coherent Sheaves, Picard Group, etc.

Published on 18 Mar 2026 - 14:54

578

Views

Pullback along the Frobenius morphism

Published on 25 Mar 2026 - 14:24

5.4k

Views

Adjunction of pushforward and pullback

Published on 23 Mar 2026 - 0:41

413

Views

Checking quasicoherence on a qcqs scheme

Published on 30 Nov 2015 - 0:30

284

Views

Turning a geometric vector bundle into a free $\mathscr{O}_X$-module

Published on 03 Dec 2015 - 19:29

79

Views

Some propreties about $ \mathfrak{Coh}_X $ and $ \mathfrak{QCoh}_X $.

Published on 08 Dec 2015 - 18:16

370

Views

Pushforward of a quasicoherent sheaf on a noetherian scheme is quasicoherent

Published on 25 Mar 2026 - 17:20

351

Views

$\Gamma(X,-)$ for Quasi-Coherent/Coherent Sheaves Maps to R-modules/Finitely Generated R modules

Published on 25 Mar 2026 - 17:28

642

Views

Why are Grothendieck's and Hartshorne's definitions of quasi-coherence equivalent?

Published on 04 Jan 2016 - 13:46

List Question

Determining a scheme $X$ is affine from $Qcoh(X)$

Why is the sheaf $\mathcal{O}_X(n)$ called the "twisting sheaf" (where $X=\operatorname{Proj}(S)$ for a graded ring $S$)?

When are direct products exact in the category of quasi-coherent sheaves?

Quasicoherent sheaves as smallest abelian category containing locally free sheaves

Vector bundles in Ravi Vakil's notes on quasicoherent sheaves

Why did Serre choose coherent sheaves?

Reference Request: Quasi-Coherent Sheaves, Picard Group, etc.

Pullback along the Frobenius morphism

Adjunction of pushforward and pullback

Checking quasicoherence on a qcqs scheme

Turning a geometric vector bundle into a free $\mathscr{O}_X$-module

Some propreties about $ \mathfrak{Coh}_X $ and $ \mathfrak{QCoh}_X $.

Pushforward of a quasicoherent sheaf on a noetherian scheme is quasicoherent

$\Gamma(X,-)$ for Quasi-Coherent/Coherent Sheaves Maps to R-modules/Finitely Generated R modules

Why are Grothendieck's and Hartshorne's definitions of quasi-coherence equivalent?

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