Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform
Authors: Kiehl, Reinhardt, Weissauer, Rainer
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- About this book
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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.
- Table of contents (7 chapters)
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Introduction
Pages 1-3
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The General Weil Conjectures (Deligne’s Theory of Weights)
Pages 5-65
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The Formalism of Derived Categories
Pages 67-133
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Perverse Sheaves
Pages 135-202
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Lefschetz Theory and the Brylinski-Radon Transform
Pages 203-224
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform
- Authors
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- Reinhardt Kiehl
- Rainer Weissauer
- Series Title
- Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
- Series Volume
- 42
- Copyright
- 2001
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-662-04576-3
- DOI
- 10.1007/978-3-662-04576-3
- Hardcover ISBN
- 978-3-540-41457-5
- Softcover ISBN
- 978-3-642-07472-1
- Series ISSN
- 0071-1136
- Edition Number
- 1
- Number of Pages
- XII, 375
- Topics
