Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

ISBN-13: 9783540219224 / Angielski / Miękka / 2004 / 250 str.

Min Ho Lee

Opis

This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.

Recenzje

From the reviews:

"This book discusses about various topics that center around equivariant holomorphic maps of Hermitian symmetric domains. In particular, this book contains a comprehensive exposition of mixed automorphic forms that has never appeared in book form. ... The main goal of this book is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms ... ." (Masakazu Muro, Zentralblatt MATH, Vol. 1063, 2005)

Spis treści

Introduction.- Mixed Automorphic Forms.- Line Bundles and Elliptic Varieties.- Mixed Automorphic Forms and Cohomology.- Mixed Hilbert and Siegel Modular Forms.- Mixed Automorphic Forms on Semisimple Lie Groups.- Families of Abelian Varieties.- Jacobi Forms.- Twisted Torus Bundles.- References.- Index.