Divisibility of Selmer groups and class groups

zbMath1480.11077arXiv1912.02420MaRDI QIDQ5011697

Azizul Hoque, Kalyan Banerjee, Kalyan Chakraborty

Publication date: 27 August 2021

Full work available at URL: https://arxiv.org/abs/1912.02420

zbMATH Keywords

Picard groupTate-Shafarevich groupclass groupimaginary quadratic fieldChow grouphyperelliptic surfaceSelmer groupabelian variety, Cohen-Lenstra heuristics

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Parametrization (Chow and Hilbert schemes) (14C05) Class numbers, class groups, discriminants (11R29) Divisors, linear systems, invertible sheaves (14C20) Algebraic cycles (14C25) Class groups and Picard groups of orders (11R65)

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Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields

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