9 citations · 15 across the 15 of their papers we have counts for
16 papers
Components of simple and non--simple type of Hurwitz schemes
Ciro Ciliberto, Andreas Leopold Knutsen, Sara Torelli
Let , with , be the Hurwitz space, parametrizing all morphisms of degree , with points $x_1,\l…
On the Hurwitz existence problem for branched covers of the projective line
Ciro Ciliberto, Andreas Leopold Knutsen, Sara Torelli
We give an alternative proof of the Hurwitz existence problem for branched covers of in the case where the number of ramification points equals the number of branch…
Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on Severi varieties on surfaces
Andreas Leopold Knutsen, Sara Torelli
Under the assumption that the adjusted Brill-Noether number is at least , we prove that the Brill-Noether loci in of pointed curves carrying p…
General infinitesimal variations of Hodge structure of ample curves in surfaces
Víctor González-Alonso, Sara Torelli
Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper we dev…
Correspondences acting on constant cycle curves on K3 surfaces
Sara Torelli
Constant cycle curves on a K3 surface over have been introduced by Huybrechts (2014) as curves whose points all define the same class in the Chow group. In this pa…
Rigidity of modular morphisms via Fujita decomposition
Giulio Codogni, Víctor González-Alonso, Sara Torelli
In this note we prove that the Torelli, Prym and Spin-Torelli morphisms, as well as covering maps between moduli stacks of projective curves can not be deformed. The proofs use pro…
Holomorphic 1-forms on some coverings of the moduli space of curves
Filippo Francesco Favale, Juan Carlos Naranjo, Gian Pietro Pirola +1
In this paper we consider unramified coverings of the moduli space of smooth projective complex curves of genus . Under some hypothesis on the branch locus of th…
Quillen connection and the uniformization of Riemann surfaces
Indranil Biswas, Filippo Francesco Favale, Gian Pietro Pirola +1
The Quillen connection on , where is the Hodge line bundle over the moduli stack of smooth complex projective curves curve…
Punctual characterization of the unitary flat bundle of weight 1 PVHS and application to families of curves
Víctor González-Alonso, Sara Torelli
In this paper we consider the problem of pointwise determining the fibres of the flat unitary subbundle of a PVHS of weight one. Starting from the associated Higgs field, and assum…
Holomorphic 1-forms on the moduli space of curves
F. F. Favale, G. P. Pirola, S. Torelli
Since the sixties it is well known that there are no non-trivial closed holomorphic -forms on the moduli space of smooth projective curves of genus . In thi…
On the Jacobian locus in the Prym locus and geodesics
Sara Torelli
In the paper we consider the Jacobian locus and the Prym locus , in the moduli space of principally polarized abelian varieties of dimens…
Totally geodesic subvarieties in the moduli space of curves
Alessandro Ghigi, Gian Pietro Pirola, Sara Torelli
In this paper we study totally geodesic subvarieties of the moduli space of principally polarized abelian varieties with respect to the Siegel metric, for…
Families of curves with Higgs field of arbitrarily large kernel
Víctor González-Alonso, Sara Torelli
In this note we consider the flat bundle U and the kernel K of the Higgs field naturally associated to any (polarized) variation of Hodge structures of weight 1. We study how stric…
Massey Products and Fujita decompositions on fibrations of curves
Gian Pietro Pirola, Sara Torelli
Let be a fibration of curves and let $f_\astω_{S/B}=\cU\oplus \cA$ be the second Fujita decomposition of In this paper we study a kind of Massey products, which are…
On the rank of the flat unitary summand of the Hodge bundle
Vìctor González-Alonso, Lidia Stoppino, Sara Torelli
Let be a non-isotrivial fibred surface. We prove that the genus , the rank of the unitary summand of the Hodge bundle and the Clifford index $c_f…
Covering of elliptic curves and the kernel of the Prym map
Filippo F. Favale, Sara Torelli
Motivated by a conjecture of Xiao, we study families of coverings of elliptic curves and their corresponding Prym map . More precisely, we describe the codifferential of the per…