12 papers
The Prym-canonical Clifford index
Margherita Lelli-Chiesa, Martina Miseri
We introduce two new invariants of Prym curves, the Prym-canonical Clifford index and the Prym-canonical Clifford dimension. The former is a nonnegative integer (according to Prym-…
Secant loci on moduli of Prym varieties
Gavril Farkas, Margherita Lelli-Chiesa
We present a Prym analogue of Lazarsfeld's result that curves on general polarized K3 surfaces verify the Brill-Noether Theorem, or equivalently, that their canonical embedding has…
The Caporaso-Harris-Ran degeneration principle: proof and applications
Francesco Bastianelli, Ciro Ciliberto, Thomas Dedieu +3
Severi varieties are the parameter spaces for curves with prescribed homology class and genus on a smooth surface. We describe their limits along degenerations of surfaces, with a…
Pencils on general covers of an elliptic curve
Andreas Leopold Knutsen, Margherita Lelli-Chiesa
We completely describe the Brill-Noether theory of pencils on general primitive covers of elliptic curves of any degree.
(Uni)rational parametrizations of , and in low genera
Margherita Lelli-Chiesa, Andreas Leopold Knutsen, Alessandro Verra
The moduli space R_{g,2n} parametrizes double covers of smooth curves of genus g ramified at 2n points. We will prove the (uni)rationality of R_{g,2}, R_{g,4} and R_{g,6} in low ge…
Double covers of curves on Nikulin surfaces
Simona D'Evangelista, Margherita Lelli-Chiesa
We survey basic results concerning Prym varieties, the Prym-Brill-Noether theory initiated by Welters, and Brill-Noether theory of general étale double covers of curves of genus g>…