Heegner divisors in the moduli space of genus three curves

Simple item page
dc.creatorArtebani, Michela
dc.date2005-10-10
dc.date.accessioned2026-07-07T06:47:19Z
dc.date.available2026-07-07T06:47:19Z
dc.descriptionS. Kondō used periods of $K3$ surfaces to prove that the moduli space of genus three curves is birational to an arithmetic quotient of a complex 6-ball. In this paper we study Heegner divisors in the ball quotient, given by arithmetically defined hyperplane sections of the ball. We show that the corresponding loci of genus three curves are given by: hyperelliptic curves, singular plane quartics and plane quartics admitting certain rational "splitting curves".
dc.identifierhttps://arxiv.org/abs/math/0510199
dc.identifierhttp://arxiv.org/abs/math/0510199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103611
dc.subjectAlgebraic Geometry
dc.subject14J28, 14J10, 14H10
dc.titleHeegner divisors in the moduli space of genus three curves
dc.typetext

Files

Collections

arXiv