© 2004

Rigid Analytic Geometry and Its Applications


Part of the Progress in Mathematics book series (PM, volume 218)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Jean Fresnel, Marius van der Put
    Pages 1-11
  3. Jean Fresnel, Marius van der Put
    Pages 13-43
  4. Jean Fresnel, Marius van der Put
    Pages 45-69
  5. Jean Fresnel, Marius van der Put
    Pages 71-119
  6. Jean Fresnel, Marius van der Put
    Pages 121-163
  7. Jean Fresnel, Marius van der Put
    Pages 165-189
  8. Jean Fresnel, Marius van der Put
    Pages 191-238
  9. Jean Fresnel, Marius van der Put
    Pages 239-258
  10. Jean Fresnel, Marius van der Put
    Pages 259-274
  11. Back Matter
    Pages 275-299

About this book


Area Meromorphic function Residue theorem algebraic geometry complex variables finite field number theory

Authors and affiliations

  1. 1.Théorie des nombres et Algorithmique arithmétique (A2X) UMR 5465Université Bordeaux 1TalenceFrance
  2. 2.Department of MathematicsUniversity of GroningenGroningenThe Netherlands

Bibliographic information

  • Book Title Rigid Analytic Geometry and Its Applications
  • Authors Jean Fresnel
    Marius van der Put
  • Series Title Progress in Mathematics
  • Series Abbreviated Title Progress in Mathematics(Birkhäuser)
  • DOI
  • Copyright Information Birkhäuser Boston 2004
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-8176-4206-8
  • Softcover ISBN 978-1-4612-6585-6
  • eBook ISBN 978-1-4612-0041-3
  • Series ISSN 0743-1643
  • Series E-ISSN 2296-505X
  • Edition Number 1
  • Number of Pages XI, 299
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original French edition published in 1981
  • Topics Geometry
    Algebraic Geometry
    Several Complex Variables and Analytic Spaces
    Number Theory
  • Buy this book on publisher's site


"… beginners will appreciate the numerous exercises and the gentle progression of the first four chapters, from the one-variable calculus on the projective line, through the algebraic study of general affinoid algebras, to the definition of general rigid varieties and their analytic reductions. And each of the last five chapters can be used as the basis for a student workshop at the advanced graduate level."   —Mathematical Reviews

"When I was a graduate student, we used the original (French) version of this book in an informal seminar on rigid geometry. It was quite helpful then, and it is much better now. The authors have updated the material, added quite a bit on new applications and new results, and changed languages. Despite the competition it now has, this is still one of the best places in which to start learning this theory."   —MAA Reviews

"The book under review gives a very complete and careful introduction into the technical foundations of the theory and also treats in detail the rigid analytic part of some of the important applications which the theory has found in recent years in number theory and geometry.  The exposition is self contained, the authors only assume some familarity with basic algebraic geometry. . . Many of the subjects treated in this book are not easily available from the literature.  The book which contains an extensive bibliography is a very valuable source for everyone wishing to learn about rigid geometry or its applications."

---Monatshefte für Mathematik