Kniha Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change Jayce Getz

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer Basel
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 147
In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2012
Stránek
258
EAN
9783034803502
ISBN
3034803508
Enbook ID
01229480
Vydavatel
Hmotnost
683
Rozměry
155 x 235 x 19

Kompletní popis

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 ad

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