Singularities of the Prym theta divisor

Details Singularities of the Prym theta divisor Singularities of the Prym theta divisor

2004-05-11

arxiv.org/abs/math/0405195v2

Mathematics

Algebraic Geometry

51 pages, AMS Latex; some results strengthened

Scientific paper

For the Jacobian of a curve, the Riemann singularity theorem gives a
geometric interpretation of the singularities of the theta divisor in terms of
special linear series on the curve. This paper proves an analogous theorem for
Prym varieties. Applications of this theorem to cubic threefolds, and Prym
varieties of dimension five, are also considered.

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