On Compact Shimura Surfaces

dc.creatorGranath, Hakan
dc.date2002-11-19
dc.date.accessioned2026-07-07T04:53:05Z
dc.date.available2026-07-07T04:53:05Z
dc.descriptionWe study surfaces constructed from groups of units in quaternion orders $Λ$ over the integers in real quadratic fields k. A short presentation of some general theory of such surfaces is given, in particular, we construct certain ``modular curves'' on the surfaces and examine their properties. We apply our results to some surfaces related to the case $k=Q(\sqrt{13})$ and $d(Λ)=(3)$, and find their place in the Kodaira classification of algebraic surfaces.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0211290
dc.identifierhttp://arxiv.org/abs/math/0211290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65709
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14G35; 11G18
dc.titleOn Compact Shimura Surfaces
dc.typetext

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