Galois cohomology and class field theory. Translated from the French by Andrei Yafaev

DOI10.1007/978-3-030-43901-9zbMath1466.11086OpenAlexW3037305167MaRDI QIDQ1986984

David Harari

Publication date: 9 April 2020

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43901-9

zbMATH Keywords

Galois cohomologyPoitou-Tate dualitylocal class field theoryglobal class field theory

Mathematics Subject Classification ID

Galois cohomology (11S25) Galois cohomology (12G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34) Class field theory; (p)-adic formal groups (11S31)

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On Tate-Shafarevich groups of one-dimensional families of commutative group schemes over number fields ⋮ Half-integrality of line bundles on partial flag schemes of classical Lie groups ⋮ Torsors for finite group schemes of bounded height ⋮ Tori over number fields and special values at \(s = 1\) ⋮ Rational points on fibrations with few non-split fibres ⋮ Some uniform bounds for elliptic curves over \(\mathbb{Q} \) ⋮ Congruence and metaplectic covariance: Rational biquadratic reciprocity and quantum entanglement

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