English

The Schottky Problem

Algebraic Geometry 2010-10-01 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1009.0369,
  title  = {The Schottky Problem},
  author = {Samuel Grushevsky},
  journal= {arXiv preprint arXiv:1009.0369},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T16:08:28.941Z