Isogeny orbits in a family of abelian varieties

DOI10.4064/aa170-2-4zbMath1382.11045arXiv1403.3976OpenAlexW2963909847MaRDI QIDQ5500822

Qian Lin, Mingxi Wang

Publication date: 10 August 2015

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

Full work available at URL: https://arxiv.org/abs/1403.3976

zbMATH Keywords

abelian varietyisogenycanonical heightFaltings heightSiegel modular varietypolyhedral reduction theorySilverman's specialization theorem

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18) Heights (11G50)

Related Items (3)

Torsion points on isogenous abelian varieties ⋮ Unlikely intersections between isogeny orbits and curves ⋮ Unlikely intersections with isogeny orbits in a product of elliptic schemes

Cites Work

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• A finiteness theorem for unpolarized Abelian varieties over number fields with prescribed places of bad reduction
• Finiteness theorems for abelian varieties over number fields.
• Minimal heights and polarizations on group varieties
• Special points on fibered powers of elliptic surfaces
• A special point problem of André-Pink-Zannier in the universal family of abelian varieties
• Heights and the specialization map for families of abelian varieties.
• On the Graded Ring of Theta-Constants

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