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Étale Cohomology of Rigid Analytic Varieties and Adic Spaces

  • Book
  • © 1996

Overview

Authors:
  1. Roland Huber

    1. Fachbereich Mathematik Bergische Universität, Gesamthochschule Wuppertal, Wuppertal, Germany

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  • Modern research in number theory and algebraic geometry
  • Gives an introduction to adic spaces and develops systematically their étale cohomology
  • For graduate students and research mathematicians

Part of the book series: Aspects of Mathematics (ASMA, volume 30)

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Table of contents (9 chapters)

  1. Front Matter

    Pages ii-x
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  2. Étale cohomology of rigid analytic varieties (summary)

    • Roland Huber
    Pages 1-35

  3. Adic spaces

    • Roland Huber
    Pages 36-107

  4. The étale site of a rigid analytic variety and an adic space

    • Roland Huber
    Pages 108-161

  5. Comparison theorems

    • Roland Huber
    Pages 162-237

  6. Base change theorems

    • Roland Huber
    Pages 238-268

  7. Cohomology with compact support

    • Roland Huber
    Pages 269-323

  8. Finiteness

    • Roland Huber
    Pages 324-359

  9. Poincaré Duality

    • Roland Huber
    Pages 360-398

  10. Partially proper sites of rigid analytic varieties and adic spaces

    • Roland Huber
    Pages 399-434

  11. Back Matter

    Pages 435-450
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Keywords

About this book

The aim of this book is to give an introduction to adic spaces and to develop systematically their étale cohomology. First general properties of the étale topos of an adic space are studied, in particular the points and the constructible sheaves of this topos. After this the basic results on the étale cohomology of adic spaces are proved: base change theorems, finiteness, Poincaré duality, comparison theorems with the algebraic case.

Authors and Affiliations

  • Fachbereich Mathematik Bergische Universität, Gesamthochschule Wuppertal, Wuppertal, Germany

    Roland Huber

About the author

Prof. Dr. Roland Huber is Professor of Mathematics at the Department of Mathematics and Informatics in the School of Mathematics and Natural Sciences of the University of Wuppertal, Germany.  

Bibliographic Information

  • Book Title: Étale Cohomology of Rigid Analytic Varieties and Adic Spaces

  • Authors: Roland Huber

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-663-09991-8

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1996

  • Softcover ISBN: 978-3-663-09992-5Published: 03 October 2013

  • eBook ISBN: 978-3-663-09991-8Published: 01 July 2013

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: X, 450

  • Topics: Mathematics, general

  • Industry Sectors: Engineering, IT & Software

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