Hilbert Modular Forms

ISBN-13: 9783540505860 / Angielski / Twarda / 1990 / 252 str.

Eberhard Freitag

Opis

Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of number theory has been given more and more attention and thus the need for a comprehensive presentation of these results, previously scattered in research journal papers, has become obvious. The main aim of this book is to give a description of the singular cohomology and its Hodge decomposition including explicit formulae. The author has succeeded in giving proofs which are both elementary and complete.

Spis treści

I. Hilbert Modular Forms.- II. Dimension Formulae.- III. The Cohomology of the Hilbert Modular Group.- Appendices.- I. Algebraic Numbers.- II. Integration.- III. Alternating Differential Forms.