Abelian surfaces with anti-holomorphic multiplication

Simple item page
dc.creatorGoresky, Mark
dc.creatorTai, Yung sheng
dc.date2001-08-14
dc.date.accessioned2026-07-07T04:42:58Z
dc.date.available2026-07-07T04:42:58Z
dc.descriptionFor appropriate $N\ge 3$ and $d<0,$ the moduli space of principally polarized abelian surfaces with level $N$ structure and anti-holomorphic multiplication by $\mathcal O_d$ (the ring of integers in $\mathbb Q(\sqrt{d})$) is shown to consist of the real points of a quasi-projective algebraic variety defined over $\mathbb Q$, and to coincide with finitely many copies of the quotient of hyperbolic 3-space by the principal congruence subgroup of level $N$ in $\mathbf{SL}(2, \mathcal O_d).$
dc.identifierhttps://arxiv.org/abs/math/0108099
dc.identifierhttp://arxiv.org/abs/math/0108099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62016
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject11G15 14P05
dc.titleAbelian surfaces with anti-holomorphic multiplication
dc.typetext

Files

Collections

arXiv