Shimura curves embedded in Igusa's threefold

Simple item page
dc.creatorRotger, Victor
dc.date2003-12-23
dc.date.accessioned2026-07-07T05:04:09Z
dc.date.available2026-07-07T05:04:09Z
dc.descriptionLet O be a maximal order in a totally indefinite quaternion algebra over a totally real number field. In this note we study the locus Q_O of quaternionic multiplication by O in the moduli space A_g of principally polarized abelian varieties of even dimension g with particular emphasis in the two-dimensional case. We describe Q_O as a union of Atkin-Lehner quotients of Shimura varieties and we compute the number of irreducible components of Q_O in terms of class numbers of CM-fields.
dc.descriptionTo appear in Modular curves and Abelian varieties, Progress in Mathematics 224 Birkhauser, (2003), 263-273
dc.identifierhttps://arxiv.org/abs/math/0312435
dc.identifierhttp://arxiv.org/abs/math/0312435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69693
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G18; 14G35
dc.titleShimura curves embedded in Igusa's threefold
dc.typetext

Files

Collections

arXiv