Chevalley's ambiguous class number formula for an arbitrary torus

DOI10.4310/MRL.2008.v15.n6.a7zbMath1175.11067arXiv0711.1623OpenAlexW2962856296MaRDI QIDQ1000629

Cristian D. González-Avilés

Publication date: 10 February 2009

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1623

zbMATH Keywords

class number of toriNéron-Raynaud modelsNisnevich cohomologynorm tori

Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34)

Related Items (7)

CLASS NUMBERS OF CM ALGEBRAIC TORI, CM ABELIAN VARIETIES AND COMPONENTS OF UNITARY SHIMURA VARIETIES ⋮ A formula for the S-class number of an algebraic torus ⋮ On Tamagawa numbers of CM tori ⋮ The Chevalley-Herbrand formula and the real abelian Main Conjecture (new criterion using capitulation of the class group) ⋮ The Chevalley-Gras formula over global fields ⋮ Brauer groups and Néron class groups ⋮ The discriminant of an algebraic torus

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