The Schottky Problem

Details The Schottky Problem The Schottky Problem

2010-09-02

arxiv.org/abs/1009.0369v2

Mathematics

Algebraic Geometry

To appear in the proceedings of "Classical algebraic geometry today" workshop (MSRI, January 2009); v2: references added

Scientific paper

In this survey we discuss some of the classical and modern methods in studying the (Riemann-)Schottky problem, the problem of characterizing Jacobians of curves among principally polarized abelian varieties. We present many of the recent results in this subject, and describe some directions of current research. This paper is based on the talk given at the "Classical algebraic geometry today" workshop at MSRI in January 2009.

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