Abelian varieties isogenous to a Jacobian

DOI10.4007/annals.2012.176.1.11zbMath1263.14032OpenAlexW2118836307MaRDI QIDQ447939

Frans Oort, Ching-Li Chai

Publication date: 30 August 2012

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2012.176.1.11

zbMATH Keywords

JacobianisogenyAndré-Oort conjectureShimura varietyHecke orbit

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Isogeny (14K02) Complex multiplication and abelian varieties (14K22)

Related Items

Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication, Irrationality of generic cubic threefold via Weil's conjectures, Brauer-Siegel for arithmetic tori and lower bounds for Galois orbits of special points, UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC, Some open questions about curves and abelian varieties over finite fields, The distribution of \(G\)-Weyl CM fields and the Colmez conjecture, ANDRÉ–OORT CONJECTURE AND NONVANISHING OF CENTRAL -VALUES OVER HILBERT CLASS FIELDS, The existence of an abelian variety over \(\overline{\mathbb{Q}}\) isogenous to no Jacobian, The Oort conjecture on Shimura curves in the Torelli locus of curves, On CM points away from the Torelli locus, On the Colmez conjecture for non-abelian CM fields, Note on linear relations in Galois cohomology and étale K-theory of curves, Applications du théorème d’Ax–Lindemann hyperbolique

Cites Work

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