Shimura subvarieties in the Prym locus of ramified Galois coverings

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2023

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Item type: Item , ZeitschriftenaufsatzAccess status: Open Access ,

Abstract

We study Shimura (special) subvarieties in the moduli space Ap,D of complex abelian varieties of dimension p and polarization type D. These subvarieties arise from families of covers compatible with a fixed group action on the base curve such that the quotient of the base curve by the group is isomorphic to P1. We give a criterion for the image of these families under the Prym map to be a special subvariety and, using computer algebra, obtain 210 Shimura subvarieties contained in the Prym locus.

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http://doi.org/10.25358/openscience-7222

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https://openscience.ub.uni-mainz.de/handle/20.500.12030/7236

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Collectanea mathematica, 74, Springer, Barcelona u.a., 2023, https://doi.org/10.1007/s13348-021-00342-5

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