| 书目名称 | Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change |
| 编辑 | Jayce Getz,Mark Goresky |
| 视频video | |
| 概述 | Award winning monograph of the 2011 Ferran Sunyer i Balaguer Prize competition.Contains basic material on intersection cohomology, modular cycles and automorphic forms from the classical and adèlic po |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2012 |
| 关键词 | Fourier coefficients; Hecke operators; Hilbert modular varieties; automorphic forms; intersection cohomo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0351-9 |
| isbn_softcover | 978-3-0348-0795-1 |
| isbn_ebook | 978-3-0348-0351-9Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer Basel 2012 |
发表于 2025-3-21 18:37:15
