TATE’S CONJECTURE AND THE TATE–SHAFAREVICH GROUP OVER GLOBAL FUNCTION FIELDS

DOI10.1017/S147474801900046XzbMath1481.11067arXiv1801.02406OpenAlexW2974494923WikidataQ122918542 ScholiaQ122918542MaRDI QIDQ4992607

Thomas Geisser

Publication date: 9 June 2021

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02406

zbMATH Keywords

Tate-Shafarevich groupBrauer groupTate's conjecture

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Varieties over finite and local fields (11G25) Positive characteristic ground fields in algebraic geometry (14G17)

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