Torsors, étale homotopy and applications to rational points /

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Bibliographic Details
Imprint:Cambridge, UK ; New York : Cambridge University Press, 2013.
Description:ix, 459 p. : ill. ; 23 cm.
Language:English
French
Series:London Mathematical Society lecture note series ; 405
London Mathematical Society lecture note series ; 405.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/9281330
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Other authors / contributors:Skorobogatov, Alexei, 1961-
ISBN:9781107616127 (pbk.)
1107616123 (pbk.)
Notes:"The workshop 'Torsors: theory and applications' took place at the International Centre for Mathematical Sciences in Edinburgh from 10-14 January 2011"-- Preface.
Includes bibliographical references.
English, with two papers in French.
Table of Contents:
  • List of contributors
  • Preface
  • Part I. Lecture Notes:
  • 1. Three lectures on Cox rings
  • 2. A very brief introduction to étale homotopy
  • 3. Torsors and representation theory of reductive groups
  • Part II. Contributed Papers:
  • 4. Torsors over luna strata
  • 5. Abélianisation des espaces homogènes et applications arithmétiques
  • 6. Gaussian rational points on a singular cubic surface
  • 7. Actions algébriques de groupes arithmétiques
  • 8. Descent theory for open varieties
  • 9. Factorially graded rings of complexity one Jürgen
  • 10. Nef and semiample divisors on rational surfaces
  • 11. Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface
  • 12. Homotopy obstructions to rational points