2 citations · 2 across the 10 of their papers we have counts for
11 papers
Genus three Ceresa cycles and limit of archimedean heights
Souvik Goswami, Irene Spelta
For a one-parameter variation of biextension mixed Hodge structures, Brosnan and Pearlstein showed that the limit of the asymptotic height of the variation is given by a certain li…
Families of cyclic curve coverings with maximal monodromy
Irene Spelta, Carolina Tamborini
We study the algebraic monodromy of families of cyclic Galois coverings of curves. Under a condition on the -decomposition of the associated variation of Hodge structures, we pr…
Simplicity of some Jacobians with many automorphisms
J. C. Naranjo, A. Ortega, G. P. Pirola +1
We study an explicit -dimensional family of Jacobian varieties of dimension , arising from quotient curves of unramified cyclic coverings of prime degree…
Monodromy of the Prym map and semicanonical pencils in genus 6
Martí Lahoz, Juan Carlos Naranjo, Andrés Rojas +1
The Prym map in genus 6 is dominant and generically finite of degree 27. When restricted to the divisor of curves with an odd semicanonical pencil …
Cyclic Coverings of genus 2 curves of Sophie Germain type
J. C. Naranjo, A. Ortega, I. Spelta
We consider cyclic unramified coverings of degree d of irreducible complex smooth genus 2 curves and their corresponding Prym varieties. They provide natural examples of polarized…
Decomposable abelian -curves and special subvarieties
Irene Spelta, Carolina Tamborini
We consider families of abelian Galois coverings of the line. When the Jacobian of the general element is totally decomposable, i.e., is isogenous to a product of elliptic curves,…
Generic Torelli for coverings of plane quintics ramified in two points
Juan Carlos Naranjo, Irene Spelta
The aim of this paper to prove that the ramified Prym map restricted to the locus of coverings of quintic plane curves ramified in 2 points is generically injective.
Gauss-Prym maps on Enriques surfaces
Dario Faro, Irene Spelta
We prove that the -th Gaussian map is surjective on a polarized unnodal Enriques surface with . In particular, as a consequence, when …
Explicit analysis of positive dimensional fibres of and Xiao conjecture
Gian Paolo Grosselli, Irene Spelta
We focus on the positive dimensional fibres of the Prym map . We present a direct procedure to investigate infinitely many examples of positive dimensional fibre…
Shimura subvarieties via endomorphisms
Irene Spelta
We show the existence of two new Shimura subvarieties of generically contained in the Torelli locus. They provide the first examples of Shimura subva…
Infinitely many Shimura varieties in the Jacobian locus for
Paola Frediani, Alessandro Ghigi, Irene Spelta
We study families of Galois covers of curves of positive genus. It is known that under a numerical condition these families yield Shimura subvarieties generically contained in the…