List questions from coherent-sheaves

Published on 13 Apr 2026 - 22:02

96

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$f_* f^* \mathcal{G}= \mathcal{G}$ and $f^* f_* \mathcal{F}= \mathcal{F}$ for Quasicoherent Sheaves

Published on 10 May 2026 - 11:44

203

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Why are the noetherian objects in a category of quasicoherent sheaves just the coherent ones?

Published on 06 May 2026 - 14:20

329

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In what sense is a constant sheaf of abelian groups with stalks G isomorphic to G?

Published on 14 Apr 2026 - 11:54

204

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Not understanding a proof about coherent sheaves on projective schemes in Hartshorne

Published on 09 Apr 2026 - 0:05

350

Views

rational points on the quadrifolium $(x^2 + y^2)^3 = (x^2 - y^2)^2$

Published on 17 Apr 2026 - 10:24

519

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What's the direct sum of infinite sheaves?

Published on 16 Apr 2026 - 20:16

774

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Condition of pushward commutes with tensor product

Published on 14 Apr 2026 - 12:27

871

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Group Action on a Scheme

Published on 30 Apr 2026 - 10:54

458

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On torsion sheaf of a coherent sheaf of $\dim X$

Published on 16 Apr 2026 - 7:16

161

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Dimension of an Open Covering - Serre's FAC

Published on 11 Apr 2026 - 20:02

333

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Serre says open covers do not form a set, why? Directed sets and limits.

Published on 14 Apr 2026 - 15:46

2.3k

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Is the pull-back of the structure sheaf the structure sheaf?

Published on 22 Apr 2026 - 21:43

825

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Importance of Vanishing Cohomology

Published on 13 Apr 2026 - 17:13

1.1k

Views

So many different 'varieties', which one is this? Serre's algebraic variety

Published on 16 Apr 2026 - 2:00

List Question

Monomorphisms of torsion-free sheaves induce monomorphims of their determinant line bundles.

$f_* f^* \mathcal{G}= \mathcal{G}$ and $f^* f_* \mathcal{F}= \mathcal{F}$ for Quasicoherent Sheaves

Why are the noetherian objects in a category of quasicoherent sheaves just the coherent ones?

In what sense is a constant sheaf of abelian groups with stalks G isomorphic to G?

Not understanding a proof about coherent sheaves on projective schemes in Hartshorne

rational points on the quadrifolium $(x^2 + y^2)^3 = (x^2 - y^2)^2$

What's the direct sum of infinite sheaves?

Condition of pushward commutes with tensor product

Group Action on a Scheme

On torsion sheaf of a coherent sheaf of $\dim X$

Dimension of an Open Covering - Serre's FAC

Serre says open covers do not form a set, why? Directed sets and limits.

Is the pull-back of the structure sheaf the structure sheaf?

Importance of Vanishing Cohomology

So many different 'varieties', which one is this? Serre's algebraic variety

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