Second order theta divisors on Pryms

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Van Geemen and van der Geer, Donagi, Beauville and Debarre proposed characterizations of the locus of jacobians which use the linear system of $2Θ$-divisors. We give new evidence for these conjectures in the case of Prym varieties.
AMS-Latex, 11 pages, the exposition has been modified, Proposition 5 has been modified

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