书目名称 | Etale Cohomology and the Weil Conjecture |
编辑 | Eberhard Freitag,Reinhardt Kiehl |
视频video | |
丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
图书封面 |  |
描述 | Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne‘s proof of the Weil conjec tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared short notes containing the central definitions and ideas of the proofs. The unexpected interest for these notes and the various suggestions to publish them encouraged us to work somewhat more on them and fill out the gaps. Our aim was to develop the theory in as self contained and as short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the monodromy theory of Lefschetz pencils. Of course, all the central ideas are due to the people who created the theory, especially Grothendieck and Deligne. The main references are the SGA-notes [64-69]. With the kind permission of Professor J. A. Dieudonne we have included in the book that finally resulted his excellent notes on the history of the Weil conjectures, as a second introduction. Our original notes were written in German. However, we finally followed the recommendation made variously to |
出版日期 | Book 1988 |
关键词 | Abelian varieties; Abelian variety; algebraic geometry; cohomology; collaboration; development; diophantin |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-02541-3 |
isbn_softcover | 978-3-662-02543-7 |
isbn_ebook | 978-3-662-02541-3Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
issn_series | 0071-1136 |
copyright | Springer-Verlag Berlin Heidelberg 1988 |