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Geometric Invariant Theory by David Mumford

Geometric Invariant Theory

by David Mumford
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Book cover type: Paperback
  • ISBN13: 9783642634000
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 294
  • Original Price: EUR 179.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 473 grams
  • BISAC Subject(s): Geometry / Algebraic, Group Theory, and Physics / Mathematical & Computational

"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.

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