Question

Computing étale cohomology group $H^1( \text{Spec}(k), \mu_n)$ and $H^1( \text{Spec}(k), \underline{\Bbb{Z}/\mathord{n \Bbb{Z}}})$

score 895 · Answer 1 · 2026-04-29 12:23:41

895

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Computing étale cohomology group $H^1( \text{Spec}(k), \mu_n)$ and $H^1( \text{Spec}(k), \underline{\Bbb{Z}/\mathord{n \Bbb{Z}}})$

Published on 29 Apr 2026 - 12:23

score 354 · Answer 2 · 2026-04-15 02:49:43

354

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Descent datum for a module

Published on 15 Apr 2026 - 2:49

score 922 · Answer 3 · 2026-04-29 12:24:22

922

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About the definition of l-adic Tate-twist

Published on 29 Apr 2026 - 12:24

score 612 · Answer 4 · 2026-04-14 05:38:25

612

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Comparison of the mod p etale cohomology of special fiber and generic fiber

Published on 14 Apr 2026 - 5:38

score 425 · Answer 5 · 2026-04-26 08:40:12

425

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Strict Epimorphism of Schemes

Published on 26 Apr 2026 - 8:40

score 62 · Answer 6 · 2026-05-10 14:06:07

62

Views

The dimension of stalks for flat morphisms

Published on 10 May 2026 - 14:06

score 411 · Answer 7 · 2026-04-16 21:07:26

411

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Explaination of "Smooth of relative dimension d".

Published on 16 Apr 2026 - 21:07

score 221 · Answer 8 · 2026-04-13 00:07:57

221

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Does a sheaf of abelian groups on a scheme $X$ induce a sheaf of abelian groups on the étale site $X_{ét}$?

Published on 13 Apr 2026 - 0:07

score 595 · Answer 9 · 2026-04-16 21:31:03

595

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Why étale?

Published on 16 Apr 2026 - 21:31

score 223 · Answer 10 · 2026-04-15 06:39:57

223

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The small étale topos of a scheme is equivalent to the category of finite $\pi_1(X,x)$-sets for every scheme $X$ and every geometric point $x$

Published on 15 Apr 2026 - 6:39

score 161 · Answer 11 · 2026-04-09 22:55:05

161

Views

Cech cohomology does not compute étale cohomology - Explanation of an example

Published on 09 Apr 2026 - 22:55

score 99 · Answer 12 · 2026-04-15 00:55:19

99

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Is the quotient presheaf $\mathbb{G}_m/\mu_p$ an étale sheaf?

Published on 15 Apr 2026 - 0:55

score 305 · Answer 13 · 2026-04-26 08:10:39

305

Views

Proposition 1.6.6, Etale Cohomology theory, Lei Fu

Published on 26 Apr 2026 - 8:10

score 158 · Answer 14 · 2026-04-23 05:02:33

158

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Calculating etale cohomology of Picard stack

Published on 23 Apr 2026 - 5:02

score 497 · Answer 15 · 2026-04-13 05:07:13

497

Views

Proper morphism induces a map between compact support etale cohomology groups

Published on 13 Apr 2026 - 5:07

List Question

Computing étale cohomology group $H^1( \text{Spec}(k), \mu_n)$ and $H^1( \text{Spec}(k), \underline{\Bbb{Z}/\mathord{n \Bbb{Z}}})$

Descent datum for a module

About the definition of l-adic Tate-twist

Comparison of the mod p etale cohomology of special fiber and generic fiber

Strict Epimorphism of Schemes

The dimension of stalks for flat morphisms

Explaination of "Smooth of relative dimension d".

Does a sheaf of abelian groups on a scheme $X$ induce a sheaf of abelian groups on the étale site $X_{ét}$?

Why étale?

The small étale topos of a scheme is equivalent to the category of finite $\pi_1(X,x)$-sets for every scheme $X$ and every geometric point $x$

Cech cohomology does not compute étale cohomology - Explanation of an example

Is the quotient presheaf $\mathbb{G}_m/\mu_p$ an étale sheaf?

Proposition 1.6.6, Etale Cohomology theory, Lei Fu

Calculating etale cohomology of Picard stack

Proper morphism induces a map between compact support etale cohomology groups

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