26 citations · 26 across the 2 of their papers we have counts for
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Points of order two on theta divisors
Valeria Ornella Marcucci, Gian Pietro Pirola
We give a bound on the number of points of order two on the theta divisor of a principally polarized abelian variety A. When A is the Jacobian of a curve C the result can be applie…
Prym varieties of double coverings of elliptic curves
Valeria Ornella Marcucci, Juan Carlos Naranjo
We prove the generic injectivity of the Prym map, sending a double covering of an elliptic curve ramified at r>4 points to its polarized Prym variety. For r=6 the map is birational…
On the genus of curves in a Jacobian variety
Valeria Ornella Marcucci
We prove that the geometric genus p of a curve in a very generic Jacobian of dimension g>3 satisfies either p=g or p>2g-3. This gives a positive answer to a conjecture of Naranjo a…
Generic Torelli theorem for Prym varieties of ramified coverings
Valeria Ornella Marcucci, Gian Pietro Pirola
In this paper we prove that the Prym map, from the space of double coverings of a curve of genus g with r branch points to the moduli space of abelian varieties, is generically inj…