Authors:	Grosselli, Gian Paolo Mohajer, Abolfazl
Title:	Shimura subvarieties in the Prym locus of ramified Galois coverings
Online publication date:	9-Jan-2023
Year of first publication:	2023
Language:	english
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.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-7222
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Collectanea mathematica 74
Pages or article number:	199 218
Publisher:	Springer
Publisher place:	Barcelona u.a.
Issue date:	2023
ISSN:	2038-4815
Publisher DOI:	10.1007/s13348-021-00342-5
Appears in collections:	JGU-Publikationen