A characterization of Prym varieties

I. Krichever

A characterization of Prym varieties

Algebraic Geometry 2007-05-23 v2 Mathematical Physics math.MP

Authors: I. Krichever

Abstract

We prove that Prym varieties of algebraic curves with two smooth fixed points of involution are exactly the indecomposable principally polarized abelian varieties whose theta-functions provide explicit formulae for integrable 2D Schr\"odinger equation.

Keywords

abelian varieties algebraic curves

Cite

@article{arxiv.math/0506238,
  title  = {A characterization of Prym varieties},
  author = {I. Krichever},
  journal= {arXiv preprint arXiv:math/0506238},
  year   = {2007}
}

Comments

25 pages, Latex, added arguments for the case of singular curves

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