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Titlebook: Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change; Jayce Getz,Mark Goresky Book 2012 Springer Bas

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發(fā)表于 2025-3-21 18:37:15 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
編輯Jayce Getz,Mark Goresky
視頻videohttp://file.papertrans.cn/428/427069/427069.mp4
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
叢書名稱Progress in Mathematics
圖書封面Titlebook: Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change;  Jayce Getz,Mark Goresky Book 2012 Springer Bas
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
關(guān)鍵詞Fourier coefficients; Hecke operators; Hilbert modular varieties; automorphic forms; intersection cohomo
版次1
doihttps://doi.org/10.1007/978-3-0348-0351-9
isbn_softcover978-3-0348-0795-1
isbn_ebook978-3-0348-0351-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Basel 2012
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發(fā)表于 2025-3-21 20:23:59 | 只看該作者
Jayce Getz,Mark Goreskyis an important tool because it provides direct feedback to both annotators and annotation guidelines developers. There are several approaches towards IAA evaluation for tasks with a closed set of alternatives like morphological annotation; adaptation of these to tasks with an unrestricted set of po
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發(fā)表于 2025-3-22 02:44:01 | 只看該作者
Jayce Getz,Mark Goreskyis an important tool because it provides direct feedback to both annotators and annotation guidelines developers. There are several approaches towards IAA evaluation for tasks with a closed set of alternatives like morphological annotation; adaptation of these to tasks with an unrestricted set of po
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發(fā)表于 2025-3-22 05:37:34 | 只看該作者
Jayce Getz,Mark Goresky classifiers with twenty benchmark datasets. First, two groups of datasets (those with few variables and those with numerous variables) were prepared. Then we progressively increased the class imbalance of each dataset in each group by under-sampling both classes so that we could clarify to what ext
5#
發(fā)表于 2025-3-22 10:56:50 | 只看該作者
Jayce Getz,Mark Goresky classifiers with twenty benchmark datasets. First, two groups of datasets (those with few variables and those with numerous variables) were prepared. Then we progressively increased the class imbalance of each dataset in each group by under-sampling both classes so that we could clarify to what ext
6#
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發(fā)表于 2025-3-23 03:47:53 | 只看該作者
Jayce Getz,Mark Goreskyal, it requires developers of such courses to use and borrow some elements presented in similar content developed by others. This form of collaboration allows for the integration of experience and points of view of multiple authors, which tends to result in better, more relevant content. This articl
10#
發(fā)表于 2025-3-23 06:42:22 | 只看該作者
Jayce Getz,Mark Goreskyal, it requires developers of such courses to use and borrow some elements presented in similar content developed by others. This form of collaboration allows for the integration of experience and points of view of multiple authors, which tends to result in better, more relevant content. This articl
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