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The Schottky Problem

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arxiv 1009.0369 v2 pith:MSLBJV6G submitted 2010-09-02 math.AG

Samuel Grushevsky This is my paper · ORCID
classification math.AG
keywords problemclassicalschottkysomeabelianalgebraiccharacterizingcurrent
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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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