Hilbert modular surfaces

Description:

Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties. Though the main emphasis of this book 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 researchers in this field.

subjects: Hilbert modular surfaces,  Surfaces,  Surfaces modulaires de Hilbert,  31.14 number theory,  Hilbert-Fläche,  Hilbertsche Modulfläche,  Hilbert modulaire oppervlakken,  Algebraic Surfaces,  Surface modulaire Hilbert,  Table point fixe elliptique,  Classification surface,  Table invariant,  Théorème Hilbert,  Cohomologie,  Classe Chern,  Algebraic Geometry,  Mathematics,  Geometry, algebraic