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Riemann Surfaces and Generalized Theta Functions

Gunning, Robert C.
Riemann Surfaces and Generalized Theta Functions
The investigation of the relationships between compact Riemann surfaces (al­ gebraic curves) and their associated complex tori (Jacobi varieties) has long been basic to the study both of Riemann surfaces and of complex tori. A Riemann surface is naturally imbedded as an analytic submanifold in its associated torus, and various spaces of linear equivalence elasses of divisors on the surface (or equivalently spaces of analytic equivalence elasse...

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