| 書目名稱 | Weil Conjectures, Perverse Sheaves and ?-adic Fourier Transform | | 編輯 | Reinhardt Kiehl,Rainer Weissauer | | 視頻video | http://file.papertrans.cn/1022/1021982/1021982.mp4 | | 概述 | Describes the important generalisation of the original Weil conjectures.For the first time the authors describe Deligne‘s work in the framework of the sheaf theoretic theory of perverse sheaves.The l- | | 叢書名稱 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati | | 圖書封面 |  | | 描述 | In this book the authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne‘s theory. Deligne‘s work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne‘s results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories. | | 出版日期 | Book 2001 | | 關(guān)鍵詞 | Deligne‘s Fourier transform; Deline‘s theory of weights and of purity; Etale cohomology; Fourier transf | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-04576-3 | | isbn_softcover | 978-3-642-07472-1 | | isbn_ebook | 978-3-662-04576-3Series ISSN 0071-1136 Series E-ISSN 2197-5655 | | issn_series | 0071-1136 | | copyright | Springer-Verlag Berlin Heidelberg 2001 |
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