Skip to main content
SpringerLink
Log in

Geometric Invariant Theory

  • Book
  • © 1994

Overview

Authors:
  1. David Mumford

    1. Brown University Div. Applied Mathematics, Providence, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. John Fogarty

    1. University of Massachusetts Dept. Mathematics, Amherst, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Frances Kirwan

    1. University of Oxford Mathematical Institute, Oxford, United Kingdom

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge (MATHE2, volume 34)

Buy print copy

Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Keywords

  • Geometrische Invariante
  • Impulsabbildung
  • Invarianten
  • Modulräume
  • invariant theory
  • invariants
  • moduli
  • moduli spaces
  • moment map

About this book

“Geometric Invariant Theory” by Mumford/Fogarty (the first edition was published in 1965, a second, enlarged edition appeared in 1982) is the standard reference on applications of invariant theory to the construction of moduli spaces. This third, revised edition has been long awaited for by the mathematical community. It is now appearing in a completely updated and enlarged version with an additional chapter on the moment map by Prof. Frances Kirwan (Oxford) and a fully updated bibliography of work in this area. The book deals firstly with actions of algebraic groups on algebraic varieties, separating orbits by invariants and construction quotient spaces; and secondly with applications of this theory to the construction of moduli spaces. It is a systematic exposition of the geometric aspects of the classical theory of polynomial invariants.

Authors and Affiliations

  • Brown University Div. Applied Mathematics, Providence, USA

    David Mumford

  • University of Massachusetts Dept. Mathematics, Amherst, USA

    John Fogarty

  • University of Oxford Mathematical Institute, Oxford, United Kingdom

    Frances Kirwan

Bibliographic Information

  • Book Title: Geometric Invariant Theory

  • Authors: David Mumford, John Fogarty, Frances Kirwan

  • Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge

  • Publisher: Springer Berlin, Heidelberg

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Hardcover ISBN: 978-3-540-56963-3Published: 29 March 1994

  • Softcover ISBN: 978-3-642-63400-0Published: 29 October 2012

  • Edition Number: 3

  • Number of Pages: XIV, 294

Publish with us

Policies and ethics

Back to top

Search

Navigation