3 papers
math.AG2026
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-…
math.AG2025
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…
math.AG2025
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…