22 citations · 41 across the 12 of their papers we have counts for
18 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>…
Irreducibility of Severi varieties on K3 surfaces
Andrea Bruno, Margherita Lelli-Chiesa
Let be a general primitively polarized surface of genus . For every we consider the Severi variety parametrizing integral curves in with exact…
A codimension 2 component of the Gieseker-Petri locus
Margherita Lelli-Chiesa
We show that the Brill-Noether locus M^3_{18,16} is an irreducible component of the Gieseker-Petri locus in genus 18 having codimension 2 in the moduli space of curves. This result…
Genus two curves on abelian surfaces
Andreas Leopold Knutsen, Margherita Lelli-Chiesa
This paper deals with singularities of genus 2 curves on a general (d_1,d_2)-polarized abelian surface (S,L). In analogy with Chen's results concerning rational curves on K3 surfac…
Ulrich bundles on three dimensional scrolls
Maria Lucia Fania, Margherita Lelli-Chiesa, Joan Pons-Llopis
In this paper we construct Ulrich bundles of low rank on three-dimensional scrolls (with respect to the tautological line bundle). We pay special attention to the four types of thr…
Moduli of non-standard Nikulin surfaces in low genus
Andreas Leopold Knutsen, Margherita Lelli-Chiesa, Alessandro Verra
Primitively polarized genus Nikulin surfaces are of two types, that we call standard and non-standard depending on whether the lattice embedding $\mathbb{Z}[H] \oplus…
Half Nikulin surfaces and moduli of Prym curves
Andreas Leopold Knutsen, Margherita Lelli-Chiesa, Alessandro Verra
Let F^N_g be the moduli space of polarized Nikulin surfaces (Y,H) of genus g and let P^N_g be the moduli of triples (Y,H,C), with C in |H| a smooth curve. We study the natural map…
Wall divisors and algebraically coisotropic subvarieties of irreducible holomorphic symplectic manifolds
Andreas Leopold Knutsen, Margherita Lelli-Chiesa, Giovanni Mongardi
Rational curves on Hilbert schemes of points on surfaces and generalised Kummer manifolds are constructed by using Brill-Noether theory on nodal curves on the underlying surfa…
Severi Varieties and Brill-Noether theory of curves on abelian surfaces
Andreas Leopold Knutsen, Margherita Lelli-Chiesa, Giovanni Mongardi
Severi varieties and Brill-Noether theory of curves on K3 surfaces are well understood. Yet, quite little is known for curves on abelian surfaces. Given a general abelian surface $…
Generalized Lazarsfeld-Mukai bundles and a conjecture of Donagi and Morrison
Margherita Lelli-Chiesa
Let S be a K3 surface and assume for simplicity that it does not contain any (-2)-curve. Using coherent systems, we express every non-simple Lazarsfeld-Mukai bundle on S as an exte…
Green's Conjecture for curves on rational surfaces with an anticanonical pencil
Margherita Lelli-Chiesa
Green's conjecture is proved for smooth curves C lying on a rational surface S with an anticanonical pencil, under some mild hypotheses on the line bundle L defined by C. Constancy…
Stability of rank-3 Lazarsfeld-Mukai bundles on K3 surfaces
Margherita Lelli-Chiesa
Given an ample line bundle L on a K3 surface S, we study the slope stability with respect to L of rank-3 Lazarsfeld-Mukai bundles associated with complete, base point free nets of…
The Gieseker-Petri divisor in M_g for genus g<=13
Margherita Lelli-Chiesa
The Gieseker-Petri locus GP_g is defined as the locus inside M_g consisting of curves which violate the Gieseker-Petri Theorem. It is known that GP_g has always some divisorial com…