ENGLISH

Lectures on Invariant Theory

By Dolgachev I.

Book information

Year
2003
Language
english
Format
PDF
Filesize
901 kB (922707 bytes)
Pages
232\232
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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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