Download E-books Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics) PDF

By Jayce Getz, Mark Goresky

Within the Seventies Hirzebruch and Zagier produced elliptic modular varieties with coefficients within the homology of a Hilbert modular floor. They then computed the Fourier coefficients of those types by way of interval integrals and L-functions. during this publication the authors take another method of those theorems and generalize them to the environment of Hilbert modular types of arbitrary measurement. The method is conceptual and makes use of instruments that weren't to be had to Hirzebruch and Zagier, together with intersection homology concept, homes of modular cycles, and base swap. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular types are provided either within the classical and adèlic settings. The booklet should still offer a starting place for impending related questions for different in the neighborhood symmetric areas.

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