Unlikely intersections in families of abelian varieties and the polynomial Pell equation

DOI10.1112/plms.12289zbMath1446.14026arXiv1801.02885OpenAlexW3098114948MaRDI QIDQ5108164

Laura Capuano, Fabrizio Barroero

Publication date: 29 April 2020

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02885

zbMATH Keywords

abelian varietyelliptic surfaceabelian schemepolynomial Pell equationflat subgroup scheme

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) [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)] Heights (11G50) Global ground fields in algebraic geometry (14G25) Algebraic theory of abelian varieties (14K05) Model theory (number-theoretic aspects) (11U09)

Related Items (8)

Betti maps, Pell equations in polynomials and almost-Belyi maps ⋮ Unlikely intersections of curves with algebraic subgroups in semiabelian varieties ⋮ An overview on problems of unlikely intersections in families of abelian varieties ⋮ Tameness in geometry and arithmetic: beyond o-minimality ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ Unlikely intersections between isogeny orbits and curves ⋮ Point counting for foliations over number fields

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