The Schottky Problem

By S. Grushevsky. 2010

51 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/275a385f87be73228c2d262867bd422bccd469ca

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1. B. Moonen
2. Frans Oort
3. Melody Chan
4. Igor Dolgachev
5. E. Viehmann
6. T. Wedhorn
7. Daniel Wortmann
8. Serge Cantat

Citations in the corpus

• The Torelli locus and special subvarieties (2011, background): “It should be pointed out that all non-trivial examples known to us, in genus at least 4, are indeed ball quotients; see the next sections.”
• Classical Algebraic Geometry: A Modern View (2012, background): “Donagi [190] about this and more general constructions of this sort).”
• Combinatorics of the tropical Torelli map (2010, background): “See, for example, [Grushevsky 2010].”