List questions from etale-cohomology

Published on 14 Apr 2026 - 23:35

157

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Building the Henselization from above: J.S. Milne, Étale Cohomology (PMS-33), Exercise 4.9

Published on 10 May 2026 - 18:28

158

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Generalized Behrend version for Grothendieck-Lefschetz trace formula

Published on 10 May 2026 - 14:05

132

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What is the "canonical" morphism $R^qg'_!\mathbb{Z}(d) \to R^qg_!\mathbb{Z}(d)$

Published on 12 Apr 2026 - 10:33

104

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Etale Cohomology vs Group Cohomology

Published on 15 Apr 2026 - 23:06

141

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"Pullback" of a divisor in Weil's/Lefschetz's trace formula

Published on 12 Apr 2026 - 22:37

148

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Map $\mathrm{Aut}_X(X_j)\to\mathrm{Aut}_X(X_i)$ in defining fundamental group of a scheme

Published on 14 Apr 2026 - 19:58

173

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Comparison with singular cohomology for the cohomology of quadrics.

Published on 12 Apr 2026 - 13:43

297

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How could a vanishing cycle be zero?

Published on 08 Apr 2026 - 23:10

149

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Faithfully flat descent and finite map

Published on 14 Apr 2026 - 11:58

43

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Can we conclude that $v|_{K^*}$ is surjective?

Published on 13 Apr 2026 - 19:17

90

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Which definition of discrete valuation should I choose?

Published on 11 Apr 2026 - 4:11

19

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What's the corresponding monomorphism $Y\to X$ and epimorphism $Y\to Z_i$ which are stated in Proposition 1.2.1?

Published on 14 Apr 2026 - 0:47

75

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How to show $M$ is a finitely generated $A$-module?

Published on 11 Apr 2026 - 6:09

313

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Unramified map between local noetherian rings

Published on 08 Apr 2026 - 4:56

List Question

Sections with compact support

Building the Henselization from above: J.S. Milne, Étale Cohomology (PMS-33), Exercise 4.9

Generalized Behrend version for Grothendieck-Lefschetz trace formula

What is the "canonical" morphism $R^qg'_!\mathbb{Z}(d) \to R^qg_!\mathbb{Z}(d)$

Etale Cohomology vs Group Cohomology

"Pullback" of a divisor in Weil's/Lefschetz's trace formula

Map $\mathrm{Aut}_X(X_j)\to\mathrm{Aut}_X(X_i)$ in defining fundamental group of a scheme

Comparison with singular cohomology for the cohomology of quadrics.

How could a vanishing cycle be zero?

Faithfully flat descent and finite map

Can we conclude that $v|_{K^*}$ is surjective?

Which definition of discrete valuation should I choose?

What's the corresponding monomorphism $Y\to X$ and epimorphism $Y\to Z_i$ which are stated in Proposition 1.2.1?

How to show $M$ is a finitely generated $A$-module?

Unramified map between local noetherian rings

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