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Lectures on Invariant Theory by Igor Dolgachev

Lectures on Invariant Theory

by Igor Dolgachev
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Book cover type: Paperback
  • ISBN13: 9780521525480
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 238
  • Original Price: GBP 82.0
  • Language: English
  • Edition: N/A
  • Item Weight: 341 grams
  • BISAC Subject(s): Algebra / Linear

This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, and the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples that originate in classical algebraic geometry. Written in an accessible style with many examples and exercises, the book offers a novel discussion of possible linearizations of actions and the variation of quotients under the change of linearization.

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