Question

When does the direct image functor respect direct sums of sheaves?

score 633 · Answer 1 · 2026-03-25 09:37:12

633

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When does the direct image functor respect direct sums of sheaves?

Published on 25 Mar 2026 - 9:37

score 352 · Answer 2 · 2019-08-05 09:35:20

352

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Question about the dimensions of generic fibers $W_{\eta}$ and $X_{\eta}$, where $W$ is a closed subscheme of $X$

Published on 05 Aug 2019 - 9:35

score 1.1k · Answer 3 · 2026-03-23 00:43:06

1.1k

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Etale iff Completions are Isomorphic

Published on 23 Mar 2026 - 0:43

score 526 · Answer 4 · 2019-08-07 09:41:55

526

Views

Exercise 7.3.J in Ravi Vakil's FOAG

Published on 07 Aug 2019 - 9:41

score 367 · Answer 5 · 2019-08-07 11:38:13

367

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Irreducible Components of a Fiber in Irreducible Scheme

Published on 07 Aug 2019 - 11:38

score 328 · Answer 6 · 2026-03-25 14:33:18

328

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Does an affine relative diagonal imply that the absolute diagonal is affine?

Published on 25 Mar 2026 - 14:33

score 119 · Answer 7 · 2019-08-10 16:53:13

119

Views

How to show this map between Zariski tangent spaces is injective

Published on 10 Aug 2019 - 16:53

score 65 · Answer 8 · 2019-08-13 05:14:15

65

Views

Finding $\mathbb{R}$-scheme $X_0$ from $\mathbb{C}$-scheme $X$ such that $X=X_0\times \mathbb{C}$

Published on 13 Aug 2019 - 5:14

score 369 · Answer 9 · 2019-08-14 03:51:30

369

Views

If the equalizer of two scheme morphisms is surjective, does that mean the two morphisms are the same?

Published on 14 Aug 2019 - 3:51

score 254 · Answer 10 · 2019-08-14 12:08:43

254

Views

Closed Immersion between Smooth Schemes is Open

Published on 14 Aug 2019 - 12:08

score 374 · Answer 11 · 2019-08-15 19:32:46

374

Views

connectedness can be checked on special fibre

Published on 15 Aug 2019 - 19:32

score 42 · Answer 12 · 2019-08-16 07:54:40

42

Views

Is quasi-separated-ness needed for this induction principle?

Published on 16 Aug 2019 - 7:54

score 282 · Answer 13 · 2026-03-25 12:53:59

282

Views

Euler-Poincare characteristic for relative schemes

Published on 25 Mar 2026 - 12:53

score 104 · Answer 14 · 2026-03-25 07:44:02

104

Views

Are these types of blow-ups affine?

Published on 25 Mar 2026 - 7:44

score 882 · Answer 15 · 2026-03-25 06:05:04

882

Views

Quasi-coherent sheaf on $Proj\ S$

Published on 25 Mar 2026 - 6:05

List Question

When does the direct image functor respect direct sums of sheaves?

Question about the dimensions of generic fibers $W_{\eta}$ and $X_{\eta}$, where $W$ is a closed subscheme of $X$

Etale iff Completions are Isomorphic

Exercise 7.3.J in Ravi Vakil's FOAG

Irreducible Components of a Fiber in Irreducible Scheme

Does an affine relative diagonal imply that the absolute diagonal is affine?

How to show this map between Zariski tangent spaces is injective

Finding $\mathbb{R}$-scheme $X_0$ from $\mathbb{C}$-scheme $X$ such that $X=X_0\times \mathbb{C}$

If the equalizer of two scheme morphisms is surjective, does that mean the two morphisms are the same?

Closed Immersion between Smooth Schemes is Open

connectedness can be checked on special fibre

Is quasi-separated-ness needed for this induction principle?

Euler-Poincare characteristic for relative schemes

Are these types of blow-ups affine?

Quasi-coherent sheaf on $Proj\ S$

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