Abstract
AbstractLet c \( \supset {C_F}\) be a fractional \( {C_F}\) -ideal. In this chapter we define c-polarized RM abelian surfaces and c-polarized CM abelian surfaces. The moduli space of all c-polarized RM abelian surfaces is a classical Hilbert modular surface, and the moduli space of all c-polarized CM abelian surfaces determines a codimension two cycle on the Hilbert modular surface. Useful references for Hilbert modular surfaces include [10], [14], [19], [46], [54], and [56].KeywordsModulus SpaceAbelian VarietyQuaternion AlgebraAbelian SurfaceQuadratic SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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