Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields
DOI10.1090/memo/1295zbMath1465.11002arXiv1505.00021OpenAlexW1925615832MaRDI QIDQ5119686
Shahed Sharif, Chris Hall, Jennifer Park, René Pannekoek, Lisa Berger, Douglas L. Ulmer, Rachel J. Pries, Alice Silverberg
Publication date: 31 August 2020
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.00021
heightJacobianfunction fieldtorsionfinite fieldmonodromyabelian varietycurveMordell-Weil group\(L\)-functionNéron modelrankTate-Shafarevich groupdescentKodaira-Spencer mapBirch and Swinnerton-Dyer conjectureTamagawa numberendomorphism algebra
Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Algebraic functions and function fields in algebraic geometry (14H05)
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