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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Paperback, 2012 ed.)
Loot Price: R1,488
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Paperback, 2012 ed.)
Series: Progress in Mathematics, 298
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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 adelic settings. The book
should provide a foundation for approaching similar questions for
other locally symmetric spaces."
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