96 research outputs found
Secants of Abelian Varieties, Theta functions, and Soliton Equations
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.Comment: 69 pages, accepted by Russian Mathematical Survey
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