Skip to main content
SpringerLink
Log in

Etale Cohomology and the Weil Conjecture

  • Book
  • © 1988

Overview

Authors:
  1. Eberhard Freitag

    1. Math. Institut, Universität Heidelberg, Heidelberg, Deutschland

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Reinhardt Kiehl

    1. Lehrstuhl für Mathematik II, Fakultät für Mathematik und Informatik, Mannheim, Deutschland

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages I-XVIII
    Download chapter PDF

  2. Introduction

    • Eberhard Freitag, Reinhardt Kiehl
    Pages 1-4

  3. The Essentials of Etale Cohomology Theory

    • Eberhard Freitag, Reinhardt Kiehl
    Pages 5-131

  4. Rationality of Weil ζ-Functions

    • Eberhard Freitag, Reinhardt Kiehl
    Pages 132-174

  5. The Monodromy Theory of Lefschetz Pencils

    • Eberhard Freitag, Reinhardt Kiehl
    Pages 175-254

  6. Deligne’s Proof of the Weil Conjecture

    • Eberhard Freitag, Reinhardt Kiehl
    Pages 255-281

  7. Back Matter

    Pages 282-320
    Download chapter PDF
Back to top

Keywords

About this book

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 publish the book in English. We had the good fortune that Professor W. Waterhouse and his wife Betty agreed to translate our manuscript. We want to thank them very warmly for their willing involvement in such a tedious task. We are very grateful to the staff of Springer-Verlag for their careful work.

Authors and Affiliations

  • Math. Institut, Universität Heidelberg, Heidelberg, Deutschland

    Eberhard Freitag

  • Lehrstuhl für Mathematik II, Fakultät für Mathematik und Informatik, Mannheim, Deutschland

    Reinhardt Kiehl

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation