Some Identities for Abelian Integrals

DOI10.2307/2374468zbMath0597.14037OpenAlexW2327361693MaRDI QIDQ3729071

Robert C. Gunning

Publication date: 1986

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374468

zbMATH Keywords

Abelian integralstrisecant formulatheta-nullwerteJacobi variety of a compact Riemann surfacesecond-order theta- functions

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Partial differential equations of mathematical physics and other areas of application (35Q99) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (8)

The n-component KP hierarchy and representation theory ⋮ Determinantal characterization of canonical curves and combinatorial theta identities ⋮ On Frobenius' theta formula ⋮ A class of solutions of the dispersionless KP equation ⋮ Riemann surfaces and their associated Wirtinger varieties ⋮ The hyperelliptic locus ⋮ The Gauss map and secants of the Kummer variety ⋮ On Fay's tri-secant formula

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