9 papers · 1 filter
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…
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…
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…