Another proof of a conjecture of S. P. Novikov on periods of Abelian integrals on Riemann surfaces

DOI10.1215/S0012-7094-87-05412-3zbMath0629.14022MaRDI QIDQ1093696

Enrico Arbarello, Corrado De Concini

Publication date: 1987

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

zbMATH Keywords

Novikov conjectureJacobian varietyprincipally polarized abelian varietyK-P equations

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

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Cites Work

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• On a set of equations characterizing Riemann matrices
• A criterion for Jacobi varieties
• Characterization of Jacobian varieties in terms of soliton equations
• Some curves in Abelian varieties
• A characterization of non-hyperelliptic Jacobi varieties
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura