List questions from sheaf-theory

447

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If we have a sheaf of abelian groups, how do we know that the restriction maps commute with our addition?

Published on 09 Jul 2016 - 22:15

34

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Comparing covers

Published on 25 Mar 2026 - 18:58

136

Views

Cohomology with compact support of a closed subspace

Published on 26 Mar 2026 - 11:17

86

Views

Games based on sheaves (or sheaf gluing?)

Published on 26 Mar 2026 - 9:38

121

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Showing $\exp:\mathscr{O}_X\to\mathscr{O}_X^*$ is an epimorphism of sheaves

Published on 15 Jul 2016 - 4:55

107

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Sheaf Theory: When do we have $(\mathscr{F}/\mathscr{G})(U) = \mathscr{F}(U)/\mathscr{G}(U)$?

Published on 26 Jul 2016 - 3:19

98

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Do the effective descent morphisms w.r.t the codomain fibration hint at the "right topology"?

Published on 25 Mar 2026 - 3:03

194

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Exhibit a chain of adjoints passing through the diagonal

Published on 26 Mar 2026 - 6:28

1k

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Projective subschemes and their coordinate rings

Published on 29 Jul 2016 - 13:31

2.1k

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Sheaf Theory: Structure sheaf of fiber product scheme

Published on 31 Jul 2016 - 5:42

1.3k

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Definition of Affine Grassmannian

Published on 27 Mar 2026 - 7:49

3.4k

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Double dual of torsion-free sheaves are locally free?

Published on 03 Aug 2016 - 8:46

917

Views

Iversen's Cohomology of Sheaves, pull back maps for sheaf cohomology

Published on 26 Mar 2026 - 12:50

380

Views

Hartshorne 3.8.1

Published on 10 Aug 2016 - 19:58

715

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A $k$ variety $X$ is smooth if it admits an unramified morphism to a smooth $k$-variety $Y$

Published on 27 Mar 2026 - 18:05

List Question

If we have a sheaf of abelian groups, how do we know that the restriction maps commute with our addition?

Comparing covers

Cohomology with compact support of a closed subspace

Games based on sheaves (or sheaf gluing?)

Showing $\exp:\mathscr{O}_X\to\mathscr{O}_X^*$ is an epimorphism of sheaves

Sheaf Theory: When do we have $(\mathscr{F}/\mathscr{G})(U) = \mathscr{F}(U)/\mathscr{G}(U)$?

Do the effective descent morphisms w.r.t the codomain fibration hint at the "right topology"?

Exhibit a chain of adjoints passing through the diagonal

Projective subschemes and their coordinate rings

Sheaf Theory: Structure sheaf of fiber product scheme

Definition of Affine Grassmannian

Double dual of torsion-free sheaves are locally free?

Iversen's Cohomology of Sheaves, pull back maps for sheaf cohomology

Hartshorne 3.8.1

A $k$ variety $X$ is smooth if it admits an unramified morphism to a smooth $k$-variety $Y$

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