Abelian varieties with several principal polarizations

DOI10.1215/S0012-7094-87-05531-1zbMath0657.14023OpenAlexW2026616912MaRDI QIDQ1110604

Herbert Lange

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05531-1

zbMATH Keywords

abelian varietyclass numberreal multiplicationsymmetric automorphismsprincipal polarizations

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Class numbers, class groups, discriminants (11R29) Algebraic theory of abelian varieties (14K05) Totally real fields (11R80)

Related Items (7)

Automorphisms of abelian varieties and principal polarizations ⋮ Décompte de polarisations de degré donné ⋮ Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian ⋮ Non-hyperelliptic modular Jacobians of dimension 3 ⋮ Finiteness of polarized \(K3\) surfaces and hyperkähler manifolds ⋮ The effect of points fattening on Hirzebruch surfaces ⋮ Primitive line bundles on abelian threefolds

Cites Work

• Polarisations on an abelian variety
• Existence of curves of genus two on a product of two elliptic curves
• A class number associated with the product of an elliptic curve with itself
• Über Den Bizyklischen Biquadratischen Zahlkörper
• On Totally Real Cubic Fields
• Joacobian surfaces in P4 .
• Classnumbers and unit signatures
• Unnamed Item
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• Unnamed Item

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