List questions from sheaf-theory

Published on 11 Dec 2016 - 13:25

72

Views

For which topologies is the pointwise coproduct already a sheaf?

Published on 25 Mar 2026 - 12:15

276

Views

Is the skyscraper sheaf with values in an arbitrary category really a sheaf?

Published on 14 Dec 2016 - 11:44

1.2k

Views

Moduli space vs. moduli stack of vector bundles

Published on 25 Mar 2026 - 16:06

718

Views

(first) cohomology $H^1$ of sheaves on curves

Published on 26 Mar 2026 - 14:21

798

Views

Invertible ideal sheaf.

Published on 19 Dec 2016 - 10:26

28

Views

Reconciling different definitions of sheaves

Published on 19 Dec 2016 - 23:04

397

Views

$\mathscr{F}$ is a sheaf of abelian groups on $X$. Show that $\mathit{Hom}_{\mathit{Ab}_X}(\underline{\mathbb{Z}},\mathscr{F})\cong\mathscr{F}$.

Published on 23 Dec 2016 - 11:13

947

Views

Is the projection from the fiber product flat?

Published on 23 Dec 2016 - 11:41

238

Views

Borel Weil Bott theorem without complex analysis?

Published on 26 Mar 2026 - 17:28

758

Views

How can I compute the cotangent sheaf for a projective variety?

Published on 25 Mar 2026 - 10:55

653

Views

What information does a group extension Ext$^1(X,Y)$ convey?

Published on 30 Mar 2026 - 13:37

1k

Views

What is the relationship between classical algebraic geometry, modern algebraic geometry, and actual curves?

Published on 26 Dec 2016 - 19:32

134

Views

Natural line bundle over $\mathbb{P}^n$

Published on 25 Mar 2026 - 14:19

148

Views

Presheaf of abelian groups and presheaf kernel $\ker_{\text{pre}}\phi$.

Published on 29 Mar 2026 - 16:02

List Question

Why is every subobject of a functor a subfunctor?

For which topologies is the pointwise coproduct already a sheaf?

Is the skyscraper sheaf with values in an arbitrary category really a sheaf?

Moduli space vs. moduli stack of vector bundles

(first) cohomology $H^1$ of sheaves on curves

Invertible ideal sheaf.

Reconciling different definitions of sheaves

$\mathscr{F}$ is a sheaf of abelian groups on $X$. Show that $\mathit{Hom}_{\mathit{Ab}_X}(\underline{\mathbb{Z}},\mathscr{F})\cong\mathscr{F}$.

Is the projection from the fiber product flat?

Borel Weil Bott theorem without complex analysis?

How can I compute the cotangent sheaf for a projective variety?

What information does a group extension Ext$^1(X,Y)$ convey?

What is the relationship between classical algebraic geometry, modern algebraic geometry, and actual curves?

Natural line bundle over $\mathbb{P}^n$

Presheaf of abelian groups and presheaf kernel $\ker_{\text{pre}}\phi$.

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