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.

Grosselli, G., Mohajer, A. (2023). Shimura subvarieties in the Prym locus of ramified Galois coverings. COLLECTANEA MATHEMATICA, 74(1), 199-218 [10.1007/s13348-021-00342-5].

Shimura subvarieties in the Prym locus of ramified Galois coverings

Grosselli, G P;
2023

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.
Articolo in rivista - Articolo scientifico
Galois covering; Prym map; Prym variety;
English
20-nov-2021
2023
74
1
199
218
none
Grosselli, G., Mohajer, A. (2023). Shimura subvarieties in the Prym locus of ramified Galois coverings. COLLECTANEA MATHEMATICA, 74(1), 199-218 [10.1007/s13348-021-00342-5].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/518141
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