2002/11/19 by Hakan Granath, Granath, Hakan
Mathematics · #11G18 #14G35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G18 #msc:14G35
paper · pdf · doi:10.48550/arxiv.math/0211290
15 pages
arxiv created 2002/11/19 · arxiv updated 2009/11/30
We 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(√(13)) and d(Λ)=(3), and find their place in the Kodaira classification of algebraic surfaces.