Secants of Abelian Varieties, Theta functions, and Soliton Equations

Abstract

This paper is a survey on relations between secant identities and soliton equations and applications of soliton equations to problems of algebraic geometry, i.e., the Riemann-Schottky problem and its analogues. A short introduction into the analytic theory of theta functions is also given.

arXiv comment69 pages, accepted by Russian Mathematical Surveys

References in corpus (1)

• Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles

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