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Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge (MATHE2, volume 34)
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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.
Keywords
- Geometrische Invariante
- Impulsabbildung
- Invarianten
- Modulräume
- invariant theory
- invariants
- moduli
- moduli spaces
- moment map
Authors and Affiliations
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Brown University Div. Applied Mathematics, Providence, USA
David Mumford
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University of Massachusetts Dept. Mathematics, Amherst, USA
John Fogarty
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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