Explicit Selmer groups for cyclic covers of P1

DOI10.4064/aa159-2-4zbMath1316.11056arXiv1108.3364OpenAlexW3124543329MaRDI QIDQ4920581

Ronald van Luijk, Michael Stoll

Publication date: 21 May 2013

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3364

zbMATH Keywords

descentSelmer groupfake Selmer group

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Global ground fields in algebraic geometry (14G25)

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A positive proportion of locally soluble hyperelliptic curves over ℚ have no point over any odd degree extension ⋮ Explicit descent for Jacobians of prime power cyclic covers of the projective line ⋮ Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois

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