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.

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.