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Champs algébriques

  • Gérard Laumon
  • Laurent Moret-Bailly

Table of contents

  1. Front Matter
    Pages i-xii
  2. Gérard Laumon, Laurent Moret-Bailly
    Pages 7-13
  3. Gérard Laumon, Laurent Moret-Bailly
    Pages 15-24
  4. Gérard Laumon, Laurent Moret-Bailly
    Pages 25-38
  5. Gérard Laumon, Laurent Moret-Bailly
    Pages 39-46
  6. Gérard Laumon, Laurent Moret-Bailly
    Pages 47-58
  7. Gérard Laumon, Laurent Moret-Bailly
    Pages 73-75
  8. Gérard Laumon, Laurent Moret-Bailly
    Pages 77-79
  9. Gérard Laumon, Laurent Moret-Bailly
    Pages 81-91
  10. Gérard Laumon, Laurent Moret-Bailly
    Pages 93-100
  11. Gérard Laumon, Laurent Moret-Bailly
    Pages 101-117
  12. Gérard Laumon, Laurent Moret-Bailly
    Pages 119-131
  13. Gérard Laumon, Laurent Moret-Bailly
    Pages 133-143
  14. Gérard Laumon, Laurent Moret-Bailly
    Pages 145-149
  15. Gérard Laumon, Laurent Moret-Bailly
    Pages 157-174
  16. Gérard Laumon, Laurent Moret-Bailly
    Pages 175-192
  17. Gérard Laumon, Laurent Moret-Bailly
    Pages 193-196

About this book

Introduction

The theory of algebraic stacks emerged in the late sixties and early seventies in the works of P. Deligne, D. Mumford, and M. Artin. The language of algebraic stacks has been used repeatedly since then, mostly in connection with moduli problems: the increasing demand for an accurate description of moduli "spaces" came from various areas of mathematics and mathematical physics. Unfortunately the basic results on algebraic stacks were scattered in the literature and sometimes stated without proofs. The aim of this book is to fill this reference gap by providing mathematicians with the first systematic account of the general theory of (quasiseparated) algebraic stacks over an arbitrary base scheme. It covers the basic definitions and constructions, techniques for extending scheme-theoretic notions to stacks, Artin's representability theorems, but also new topics such as the "lisse-étale" topology.

Keywords

champs alg briques

Authors and affiliations

  • Gérard Laumon
    • 1
  • Laurent Moret-Bailly
    • 2
  1. 1.Mathématique, UMR 8628CNRS et Université de Paris-SudOrsay, CedexFrance
  2. 2.IRMAR, UMR 6625Université de Rennes 1Rennes, CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-24899-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-65761-3
  • Online ISBN 978-3-540-24899-6
  • Series Print ISSN 0071-1136
  • Series Online ISSN 2197-5655
  • Buy this book on publisher's site