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Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform

Authors: Kiehl, Reinhardt, Weissauer, Rainer

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eBook 118,99 €
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  • ISBN 978-3-662-04576-3
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Hardcover 155,95 €
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  • ISBN 978-3-540-41457-5
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Softcover 155,95 €
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  • ISBN 978-3-642-07472-1
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About this book

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)

  • Introduction

    Kiehl, Reinhardt (et al.)

    Pages 1-3

    Preview Buy Chapter 30,19 €
  • The General Weil Conjectures (Deligne’s Theory of Weights)

    Kiehl, Reinhardt (et al.)

    Pages 5-65

    Preview Buy Chapter 30,19 €
  • The Formalism of Derived Categories

    Kiehl, Reinhardt (et al.)

    Pages 67-133

    Preview Buy Chapter 30,19 €
  • Perverse Sheaves

    Kiehl, Reinhardt (et al.)

    Pages 135-202

    Preview Buy Chapter 30,19 €
  • Lefschetz Theory and the Brylinski-Radon Transform

    Kiehl, Reinhardt (et al.)

    Pages 203-224

    Preview Buy Chapter 30,19 €

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-662-04576-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,95 €
price for Spain (gross)
  • ISBN 978-3-540-41457-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 155,95 €
price for Spain (gross)
  • ISBN 978-3-642-07472-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform
Authors
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