Quaternions, polarizations and class numbers

DOI10.1515/crll.2003.065zbMath1094.11022arXivmath/0211120OpenAlexW2963682870MaRDI QIDQ4422798

Victor Rotger

Publication date: 24 August 2003

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211120

zbMATH Keywords

abelian varietyclass numberquaternion algebraprincipal polarisation

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10) Class numbers, class groups, discriminants (11R29) Algebraic theory of abelian varieties (14K05)

Related Items (6)

On equations defining fake elliptic curves ⋮ Quaternionic loci in Siegel's modular threefold ⋮ Number of Kummer structures and moduli spaces of generalized Kummer surfaces ⋮ Décompte de polarisations de degré donné ⋮ The arithmetic of QM-abelian surfaces through their Galois representations ⋮ Genus two curves with quaternionic multiplication and modular Jacobian

Cites Work

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