On Generalized Theta Functions

DOI10.2307/2374073zbMath0503.14021OpenAlexW2736232048MaRDI QIDQ3969061

Robert C. Gunning

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2307/2374073

zbMATH Keywords

Riemann surfacestheta functionsholomorphic vector bundlesJacobian of algebraic curve

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Holomorphic bundles and generalizations (32L05)

Related Items (6)

The trisecant conjecture ⋮ Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions ⋮ Riemann surfaces and their associated Wirtinger varieties ⋮ Second Order Theta Functions and Vector Bundles Over Jacobi Varieties ⋮ Inversion of Abelian integrals on small genus curves ⋮ On the even-order vanishing of Jacobian theta functions

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