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Explicit Tamagawa numbers for certain algebraic tori over number fields

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Publication:5103762
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DOI10.1090/mcom/3771zbMath1497.11095arXiv2009.04431OpenAlexW3084153986MaRDI QIDQ5103762

Thomas Rüd

Publication date: 8 September 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04431


zbMATH Keywords

Hasse principlecohomological invariantsétale algebraTamagawa number


Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) Classical groups (algebro-geometric aspects) (14L35) Galois cohomology of linear algebraic groups (11E72)


Related Items

Counting abelian varieties over finite fields via Frobenius densities ⋮ On Tamagawa numbers of CM tori



Cites Work

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  • Multiplicative invariant theory
  • Adele groups and Siegel-Tamagawa formulas
  • Constructing distinct curves with isomorphic Jacobians
  • Constructing transitive permutation groups.
  • On the Tamagawa number of algebraic tori
  • The cohomology theory of group extensions
  • CLASS NUMBERS OF CM ALGEBRAIC TORI, CM ABELIAN VARIETIES AND COMPONENTS OF UNITARY SHIMURA VARIETIES
  • Rationality Problem for Algebraic Tori
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