Titlebook: Hilbert Modular Surfaces; Gerard Geer Book 1988 Springer-Verlag Berlin Heidelberg 1988 Canon.Compactification.Dimension.Division.Divisor.F

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Isometric

Moduli of Abelian Schemes with Real Multiplication,varieties over ℤ. Faltings has extended the construction and applied it to the construction of a compactification of ., the moduli scheme of principally polarized abelian schemes over ℤ. Faltings has also shown how to obtain a minimal (Baily-Borel) compactification over ℤ.

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0071-1136 ok is on the geometry of Hilbert modular surfaces, both geometric and arithmetic aspects are treated. An abundance of examples - in fact a whole chapter - completes this competent presentation of the subject. This .Ergebnisbericht. will soon become an indispensible tool for graduate students and res

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0071-1136 er - completes this competent presentation of the subject. This .Ergebnisbericht. will soon become an indispensible tool for graduate students and researchers in this field.978-3-642-64868-7978-3-642-61553-5Series ISSN 0071-1136 Series E-ISSN 2197-5655

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Introduction, on ℌ. and we can form the quotient. This is quasi-projective algebraic variety with finitely many isolated singularities and it is called a Hilbert modular variety. For . = 1 (. = ℚ) one finds the classical modular group and the .-line PSL(2, ℤ) ℌ. This book deals with the case where the field . is a real quadratic field.

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