TY  - BOOK
AU  - Dolgachev,Igor
TI  - Lectures on Invariant Theory
T2  - London Mathematical Society Lecture Note Series
SN  - 9780511615436 (ebook)
AV  - QA201  .D65 2002
U1  - 512.5 21
PY  - 2003///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Invariants
KW  - Linear algebraic groups
KW  - Geometry, Differential
KW  - Geometry, Algebraic
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It 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, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces
UR  - http://dx.doi.org/10.1017/CBO9780511615436
ER  -