English

Secants of Abelian Varieties, Theta functions, and Soliton Equations

alg-geom 2015-06-24 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9609019,
  title  = {Secants of Abelian Varieties, Theta functions, and Soliton Equations},
  author = {I. A. Taimanov},
  journal= {arXiv preprint arXiv:alg-geom/9609019},
  year   = {2015}
}

Comments

69 pages, accepted by Russian Mathematical Surveys