Singularities of the Prym theta divisor
Annals of mathematics, Tome 170 (2009) no. 1, pp. 163-204.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2009.170.163

Sebastian Casalaina-Martin 1

1 Department of Mathematics<br/>Columbia University<br/>New York, NY 10027<br/>United States
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Sebastian Casalaina-Martin. Singularities of the Prym theta divisor. Annals of mathematics, Tome 170 (2009) no. 1, pp. 163-204. doi : 10.4007/annals.2009.170.163. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.163/

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