AMS Bookstore LOGO amslogo
Return to List

AMS TextbooksAMS Applications-related Books

Selmer Complexes
Jan Nekovář, Université Pierre et Marie Curie, Paris, France
A publication of the Société Mathématique de France.
cover
Astérisque
2006; 559 pp; softcover
Number: 310
ISBN-10: 2-85629-227-5
ISBN-13: 978-2-85629-227-3
List Price: US$124
Individual Members: US$111.60
Order Code: AST/310
[Add Item]

This book builds new foundations of Iwasawa theory, based on a systematic study of cohomological invariants of big Galois representations in the framework of derived categories. A new duality formalism is developed, which leads to generalized Cassels-Tate pairings and generalized \(p\)-adic height pairings. One of the applications is a parity result for Selmer groups associated to Hilbert modular forms.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in Iwasawa theory.

Table of Contents

  • Introduction
  • Homological algebra: Products and signs
  • Local duality
  • Continuous cohomology
  • Continuous cohomology of pro-finite groups
  • Duality theorems for Galois cohomology revisited
  • Selmer complexes
  • Unramified cohomology
  • Iwasawa theory
  • Classical Iwasawa theory
  • Generalized Cassels-Tate pairings
  • \(R\)-valued height pairings
  • Parity of ranks of Selmer groups
  • Errata
  • List of symbols
  • Bibliography
Powered by MathJax

  AMS Home | Comments: webmaster@ams.org
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia