Special values of \(L\)-functions of one-motives over function fields

DOI10.1515/crelle-2022-0081OpenAlexW3090967950MaRDI QIDQ2100865

Takashi Suzuki, Thomas Geisser

Publication date: 25 November 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14504

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Étale and other Grothendieck topologies and (co)homologies (14F20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Cycles and subschemes (14Cxx)

Related Items (2)

Tori over number fields and special values at \(s = 1\) ⋮ Special values of \(L\)-functions on regular arithmetic schemes of dimension 1

Cites Work

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• A Weil-étale version of the Birch and Swinnerton-Dyer formula over function fields
• Special values of \(L\)-functions on regular arithmetic schemes of dimension 1
• Néron models of 1-motives and duality
• Arithmetic of algebraic tori
• On the Tamagawa number of algebraic tori
• Néron Models
• The Weil-étale topology on schemes over finite fields
• Néron models for semiabelian varieties: congruence and change of base field
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