6 papers
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…
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…
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…