List questions from etale-cohomology

Published on 19 Mar 2013 - 11:41

294

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Computation of first étale cohomology group on a curve

Published on 06 Aug 2020 - 9:50

195

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Let $A \rightarrow B$ be etale. Is multiplication $B \rightarrow B \otimes_A B$ faithfully flat?

Published on 12 Aug 2020 - 1:12

53

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Injectivity of Weil cohomology

Published on 19 Aug 2020 - 23:19

208

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Local strictly henselian $\mathbb{Q}$-algebras (i.e. "points in étale topology")

Published on 25 Mar 2026 - 11:13

165

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$\operatorname{Hom}(Z/nZ, μ_n)$ is isomorphic to $μ_n$ as etale sheaf?

Published on 25 Mar 2026 - 17:20

214

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Gabber purity theorem

Published on 06 Sep 2020 - 18:36

839

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What is the natural motivation for smooth/étale/unramified morphisms restricting from formally smooth/étale/unramified morphisms?

Published on 26 Mar 2026 - 17:50

804

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Starting point for learning etale cohomology

Published on 20 Oct 2020 - 16:16

552

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The relative Frobenius morphism $F_{X/S}$ is an isomorphism iff $X/S$ is étale?

Published on 23 Oct 2020 - 10:20

85

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Fpqc-locally constant if and only if étale-locally constant?

Published on 25 Mar 2026 - 11:13

324

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Ehresmann's lemma equivalent etale topology

Published on 16 Nov 2020 - 17:07

121

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How are (pre)sheaves even well-defined on sites?

Published on 02 Dec 2020 - 6:48

131

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Cohomology of $G_m$

Published on 31 Dec 2020 - 16:22

68

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How do I compute the action of the Frobenius on the torsion of the Jacobian in Sage?

Published on 01 Jan 2021 - 2:14

List Question

Comparison between etale and singular cohomology for a singular variety

Computation of first étale cohomology group on a curve

Let $A \rightarrow B$ be etale. Is multiplication $B \rightarrow B \otimes_A B$ faithfully flat?

Injectivity of Weil cohomology

Local strictly henselian $\mathbb{Q}$-algebras (i.e. "points in étale topology")

$\operatorname{Hom}(Z/nZ, μ_n)$ is isomorphic to $μ_n$ as etale sheaf?

Gabber purity theorem

What is the natural motivation for smooth/étale/unramified morphisms restricting from formally smooth/étale/unramified morphisms?

Starting point for learning etale cohomology

The relative Frobenius morphism $F_{X/S}$ is an isomorphism iff $X/S$ is étale?

Fpqc-locally constant if and only if étale-locally constant?

Ehresmann's lemma equivalent etale topology

How are (pre)sheaves even well-defined on sites?

Cohomology of $G_m$

How do I compute the action of the Frobenius on the torsion of the Jacobian in Sage?

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