arXiv subjects

Marco Ramponi

Publications and source records attributed to Marco Ramponi.

3 recordsLinked to original sources

arXiv2019

A note on Nikulin surfaces and their moduli spaces

We study some natural linear systems carried by polarized Nikulin surfaces of genus g. We determine their positivity and establish their Brill-Noether theory. As an application, we compute the class of some natural effective divisors associated to these linear systems on the moduli space of Nikulin surfaces, relying upon recent work of Farkas and Rimányi.

math.AG↗

arXiv2016

Special divisors on curves on K3 surfaces carrying an Enriques involution

We study the pencils of minimal degree on the smooth curves lying on a K3 surface X which carries a fixed-point free involution. Generically, the gonality of these curves is totally governed by the genus 1 fibrations of X

math.AG↗

arXiv2016

Gonality and Clifford index of curves on elliptic K3 surfaces with Picard number two

We compute the Clifford index of all curves on a K3 surface with Picard group isomorphic to U(m).

math.AG↗