Lectures on Invariant Theory
$110.00 (P)
Part of London Mathematical Society Lecture Note Series
- Author: Igor Dolgachev, University of Michigan, Ann Arbor
- Date Published: August 2003
- availability: Available
- format: Paperback
- isbn: 9780521525480
$
110.00
(P)
Paperback
Other available formats:
eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.
-
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.
Read more- Accessible style with many examples and exercises
- Based on the author's teaching at Michigan and Harvard
Reviews & endorsements
'The exposition is very systematic, lucid and sufficiently detailed. it certainly [reflects] the author's passion, versatility, all-round knowledge in mathematics, and mastery as both an active researcher and devoted teacher. It is very gratifying to see this beautiful, modern and still down-to-earth introduction to classical and contemporary invariant theory at the public's disposal …' Zentralblatt für Mathematik
See more reviews'Besides interested graduate students and experts, I recommend the book also to mathematicians and theoretical physicists whose research may require invariant theory, representation theory or algebraic geometry.' Acta Scientiarum Mathematicarum
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: August 2003
- format: Paperback
- isbn: 9780521525480
- length: 238 pages
- dimensions: 229 x 152 x 14 mm
- weight: 0.36kg
- availability: Available
Table of Contents
1. The symbolic method
2. The first fundamental theorem
3. Reductive algebraic groups
4. Hilbert's fourteenth problem
5. Algebra of covariants
6. Quotients
7. Linearization of actions
8. Stability
9. Numerical criterion of stability
10. Projective hypersurfaces
11. Configurations of linear subspaces
12. Toric varieties.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×