In the 1970s Hirzebruch and Zagier produced elliptic modular forms
with coefficients in the homology of a Hilbert modular surface. They
then computed the Fourier coefficients of these forms in terms of
period integrals and L-functions. In this book the authors take an
alternate approach to these theorems and generalize them to the
setting of Hilbert modular varieties of arbitrary dimension. The
approach is conceptual and uses tools that were not available to
Hirzebruch and Zagier, including intersection homology theory,
properties of modular cycles, and base change. Automorphic vector
bundles, Hecke operators and Fourier coefficients of modular forms are
presented both in the classical and adèlic settings. The book should
provide a foundation for approaching similar questions for other
locally symmetric spaces.
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Produktdetaljer
ISBN
9783034803519
Publisert
2020
Utgiver
Vendor
Birkhauser
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter