4 papers
Moving Seshadri Constants, and Coverings of Varieties of Maximal Albanese Dimension
Luca F. Di Cerbo, Luigi Lombardi
Let be a smooth projective complex variety of maximal Albanese dimension, and let be a big line bundle. We prove that the moving Seshadri constants of the pull-backs…
Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic
Katrina Honigs, Luigi Lombardi, Sofia Tirabassi
We prove that any Fourier--Mukai partner of an abelian surface over an algebraically closed field of positive characteristic is isomorphic to a moduli space of Gieseker-stable shea…
Regularity of curves in abelian varieties
Luigi Lombardi, Wenbo Niu
Inspired by a theorem of Gruson-Lazarsfeld-Peskine bounding the Castelnuovo-Mumford regularity of curves in projective spaces, we bound the Theta-regularity of curves in polarized…
The Equations of Singular Loci of Ample Divisors on (Subvarieties of) Abelian Varieties
Luigi Lombardi, Francesco Malaspina
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system of an ample line bundle on a complex abelian variety. We prove an effe…