Question

Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?

score 189 · Answer 1 · 2026-05-07 11:27:03

189

Views

Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?

Published on 07 May 2026 - 11:27

score 204 · Answer 2 · 2026-05-05 03:34:32

204

Views

Question about notation for Čech cohomology and direct image of sheaves in Hartshorne

Published on 05 May 2026 - 3:34

score 291 · Answer 3 · 2026-05-05 02:22:22

291

Views

Does sheafification preserve surjectivity?

Published on 05 May 2026 - 2:22

score 199 · Answer 4 · 2026-05-05 13:46:15

199

Views

Image of a morphism of chain complexes of sheaves via direct/inverse image functor

Published on 05 May 2026 - 13:46

score 94 · Answer 5 · 2026-05-05 00:41:16

94

Views

Tensor of a $k[X]$ module with the structure sheaf of an affine variety is a sheaf

Published on 05 May 2026 - 0:41

score 705 · Answer 6 · 2026-05-07 20:37:53

705

Views

Sheafy definition for the tangent space at a point on a manifold?

Published on 07 May 2026 - 20:37

score 351 · Answer 7 · 2026-05-05 20:32:24

351

Views

Whats the relationship between a presheaf and its sheafification?

Published on 05 May 2026 - 20:32

score 95 · Answer 8 · 2026-05-05 03:58:13

95

Views

First isomorphism theorem of sheaves -- do you need to sheafify if the map is surjective on basis sets?

Published on 05 May 2026 - 3:58

score 193 · Answer 9 · 2026-05-05 01:59:22

193

Views

An irreducible topological space $X$ admits a constant sheaf iff it is indiscrete.

Published on 05 May 2026 - 1:59

score 399 · Answer 10 · 2026-05-06 07:57:25

399

Views

Why does a globally generated invertible sheaf admit a global section not vanishing on any irreducible component?

Published on 06 May 2026 - 7:57

score 284 · Answer 11 · 2026-05-07 20:03:31

284

Views

Viewing a closed point as a scheme

Published on 07 May 2026 - 20:03

score 317 · Answer 12 · 2026-05-10 10:00:31

Proof of $(D(f),\mathcal O_{\operatorname {Spec}A}|_{D(f)})\cong (\operatorname{Spec}A_f,\mathcal O_{\operatorname {Spec}A_f}) $(Vakil 4.3.B)

score 93 · Answer 13 · 2026-04-29 12:24:36

93

Views

Intersection in a Sheaf of Rings

Published on 29 Apr 2026 - 12:24

score 1k · Answer 14 · 2026-04-29 12:24:40

1k

Views

When is the structure sheaf not coherent over itself?

Published on 29 Apr 2026 - 12:24

score 160 · Answer 15 · 2026-04-29 12:18:02

160

Views

Geometric interpretation of Lawvere-Tierney topology

Published on 29 Apr 2026 - 12:18

List Question

Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?

Question about notation for Čech cohomology and direct image of sheaves in Hartshorne

Does sheafification preserve surjectivity?

Image of a morphism of chain complexes of sheaves via direct/inverse image functor

Tensor of a $k[X]$ module with the structure sheaf of an affine variety is a sheaf

Sheafy definition for the tangent space at a point on a manifold?

Whats the relationship between a presheaf and its sheafification?

First isomorphism theorem of sheaves -- do you need to sheafify if the map is surjective on basis sets?

An irreducible topological space $X$ admits a constant sheaf iff it is indiscrete.

Why does a globally generated invertible sheaf admit a global section not vanishing on any irreducible component?

Viewing a closed point as a scheme

Proof of $(D(f),\mathcal O_{\operatorname {Spec}A}|_{D(f)})\cong (\operatorname{Spec}A_f,\mathcal O_{\operatorname {Spec}A_f}) $(Vakil 4.3.B)

Intersection in a Sheaf of Rings

When is the structure sheaf not coherent over itself?

Geometric interpretation of Lawvere-Tierney topology

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