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On Tate-Shafarevich groups of one-dimensional families of commutative group schemes over number fields

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Publication:2172498
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DOI10.1007/s00209-022-03080-xOpenAlexW3209991399MaRDI QIDQ2172498

Tamás Szamuely, David Harari

Publication date: 15 September 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.13127



Mathematics Subject Classification ID

Arithmetic problems in algebraic geometry; Diophantine geometry (14Gxx) Algebraic number theory: global fields (11Rxx) (Co)homology theory in algebraic geometry (14Fxx)




Cites Work

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  • Fibration method and Manin obstruction
  • Cohomology of tori over \(p\)-adic curves
  • Galois cohomology and class field theory. Translated from the French by Andrei Yafaev
  • Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
  • Duality theorems for curves over p-adic fields
  • Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
  • La $R$-équivalence sur les tores
  • Arithmetic Duality Theorems for 1-Motives
  • The Brauer–Grothendieck Group
  • BIRATIONAL PROPERTIES OF LINEAR ALGEBRAIC GROUPS
  • On the arithmetic of abelian varieties
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