Factorization estimates for Abelian varieties

DOI10.1007/BF02699374zbMath0854.11030OpenAlexW2007626069WikidataQ101086289 ScholiaQ101086289MaRDI QIDQ1908321

Gisbert Wüstholz, David W. Masser

Publication date: 23 March 1996

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1995__81__5_0

zbMATH Keywords

abelian varietiesisogenyFaltings heightclass indicesendomorphism estimatesfactorization estimatesRosati discriminants

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Isogeny (14K02)

Related Items (11)

A note on Siegel's lemma ⋮ Bases of number fields with small height ⋮ Lattices with skew-Hermitian forms over division algebras and unlikely intersections ⋮ The André-Oort conjecture for \(\mathcal A_g\) ⋮ Effective computation of Picard groups and Brauer-Manin obstructions of degree two \(K3\) surfaces over number fields ⋮ The Manin-Mumford conjecture and the model theory of difference fields ⋮ Slopes and abelian subvariety theorem ⋮ Polarization and isogenies ⋮ On CM points away from the Torelli locus ⋮ The effective Shafarevich conjecture for abelian varieties of -type ⋮ Formal groups and the isogeny theorem.

Cites Work

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• A finiteness theorem for unpolarized Abelian varieties over number fields with prescribed places of bad reduction
• Zero estimates on group varieties. II
• Finiteness theorems for abelian varieties over number fields.
• Fields of definition for homomorphisms of abelian varieties
• Endomorphism estimates for abelian varieties
• Isogeny estimates for abelian varieties, and finiteness theorems
• Periods and minimal abelian subvarieties
• Zero divisors in quaternion algebras

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