List questions from etale-cohomology

Published on 25 Mar 2026 - 19:06

67

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Is "$k[X]^\ast= k^\ast$" preserved under finite surjective etale morphisms $Y \to X$ (for $k$ alg closed)?

Published on 03 Oct 2015 - 18:25

166

Views

isomorphism of étale cohomology

Published on 05 Mar 2026 - 4:04

240

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Is etale cohomology invariant under purely transcendental extensions?

Published on 21 Mar 2026 - 8:06

329

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question on a concrete example of etale cohomology groups

Published on 22 Nov 2015 - 17:47

1.2k

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etale vs zariski cohomology for coherent sheaves

Published on 23 Nov 2015 - 11:25

636

Views

Categories of étale coverings of elliptic curves

Published on 24 Mar 2026 - 21:59

1k

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The étale fundamental group as a functor

Published on 04 Mar 2026 - 12:06

327

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Fixed points of Frobenius

Published on 05 Mar 2016 - 20:10

30

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What is alias etale map?

Published on 08 Mar 2016 - 16:23

181

Views

Cohomology of affine hypersurface

Published on 23 Feb 2026 - 1:44

211

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Why does this exact sequence of sheaves imply the maps are $G$-equivariant?

Published on 08 May 2016 - 13:32

47

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How to prove that $H^q(X_{et},F) \cong \prod_{i=1}^n H^q(X_{i_{et}}, F|_{X_i})$ for $X = X_1 \sqcup ... \sqcup X_n$

Published on 09 May 2016 - 0:12

701

Views

Galois group action on etale cohomology groups

Published on 12 May 2016 - 16:16

2.3k

Views

What is the difference between $\ell$-adic cohomology and cohomology with coefficient in $Z_\ell$?

Published on 31 May 2013 - 9:11

List Question

How does Galois group acts on etale cohomology?

Is "$k[X]^\ast= k^\ast$" preserved under finite surjective etale morphisms $Y \to X$ (for $k$ alg closed)?

isomorphism of étale cohomology

Is etale cohomology invariant under purely transcendental extensions?

question on a concrete example of etale cohomology groups

etale vs zariski cohomology for coherent sheaves

Categories of étale coverings of elliptic curves

The étale fundamental group as a functor

Fixed points of Frobenius

What is alias etale map?

Cohomology of affine hypersurface

Why does this exact sequence of sheaves imply the maps are $G$-equivariant?

How to prove that $H^q(X_{et},F) \cong \prod_{i=1}^n H^q(X_{i_{et}}, F|_{X_i})$ for $X = X_1 \sqcup ... \sqcup X_n$

Galois group action on etale cohomology groups

What is the difference between $\ell$-adic cohomology and cohomology with coefficient in $Z_\ell$?

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