Riemann surfaces and abelian varieties with an automorphism of prime order

DOI10.1215/S0012-7094-93-06910-4zbMath0790.14039OpenAlexW1533755086MaRDI QIDQ1210442

Rubí E. Rodríguez, Gonzalo Riera

Publication date: 20 June 1994

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-06910-4

zbMATH Keywords

ideal class numbercomplex multiplicationJacobian varieties of compact Riemann surfacesnumber of isomorphism classes of principally polarized abelian varieties

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Complex multiplication and abelian varieties (14K22) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (5)

Remarks on abelian varieties with an automorphism of prime order ⋮ A SAGE Package for n-Gonal Equisymmetric Stratification of ⋮ Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces ⋮ Riemann surfaces of genus \(g\) with an automorphism of order \(p\) prime and \(p > g\) ⋮ A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree

Cites Work

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• On generalized Riemann matrices
• Riemann surface transformation groups
• Sur les Périodes des Intégrales Abéliennes

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