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20192026
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math.AG2026

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…

math.AG2025

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…

math.AG2024

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…

math.AG2021

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…

math.AG2021

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…

math.AG2019

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…