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.