Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Projective group structures as absolute Galois structures with block approximation

About this Title

Dan Haran, Moshe Jarden and Florian Pop

Publication: Memoirs of the American Mathematical Society
Publication Year: 2007; Volume 189, Number 884
ISBNs: 978-0-8218-3995-9 (print); 978-1-4704-0488-8 (online)
DOI: https://doi.org/10.1090/memo/0884
MathSciNet review: 2340100
MSC: Primary 12E30; Secondary 12F10, 12J10

PDF View full volume as PDF

Read more about this volume

View other years and numbers:

Table of Contents

Chapters

  • Introduction
  • 1. Étale topology
  • 2. Group structures
  • 3. Completion of a cover to a cartesian square
  • 4. Projective group structures
  • 5. Special covers
  • 6. Unirationally closed fields
  • 7. Valued fields
  • 8. The space of valuation of a field
  • 9. Locally uniform $\upsilon$-adic topologies
  • 10. Locally uniform Hensel’s lemma
  • 11. Field valuation structures
  • 12. Block approximation
  • 13. Rigid Henselian extensions
  • 14. Projective group structures as absolute Galois structures
  • 15. From field structures to field valuation structures