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Conférences sur la théorie invariante par Igor Dolgachev (anglais) livre de poche
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Lieu où se trouve l'objet : Fairfield, Ohio, États-Unis
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Numéro de l'objet eBay :388610087465
Dernière mise à jour le 24 juin 2025 15:27:57 CEST. Afficher toutes les modificationsAfficher toutes les modifications
Caractéristiques de l'objet
- État
- ISBN-13
- 9780521525480
- Book Title
- Lectures on Invariant Theory
- ISBN
- 9780521525480
À propos de ce produit
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521525489
ISBN-13
9780521525480
eBay Product ID (ePID)
2341148
Product Key Features
Number of Pages
238 Pages
Language
English
Publication Name
Lectures on Invariant Theory
Publication Year
2003
Subject
Algebra / Linear, Geometry / Differential, General, Algebra / General, Geometry / Algebraic
Type
Textbook
Subject Area
Mathematics
Series
London Mathematical Society Lecture Note Ser.
Format
Perfect
Dimensions
Item Height
0.6 in
Item Weight
12.7 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2002-073456
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, '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 f� athematik, '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, '?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 f'r Mathematik, ‘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, '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 fr Mathematik
Dewey Edition
21
Series Volume Number
Series Number 296
Illustrated
Yes
Dewey Decimal
512.5
Table Of Content
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.
Synopsis
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., Based on lectures given at University of Michigan, Harvard University and Seoul National University, this 2003 book is a brief introduction to the main ideas of algebraic and geometric invariant theory. The emphasis is on concrete examples and there are numerous examples and exercises to aid the reader., 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.
LC Classification Number
QA201 .D65 2002
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- l***6 (17)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéTaking a month to get shipped to me wasn't the best experience. Also not really a fan of the fact that the tracking method changed and was delivered by PM, or that the shipping source was wrong (came from Australia but was claimed from Canada, which would have made the time a bit more understandable). Arrived new and unsealed however, so no complaints about the actual product.
- s***u (648)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéQuality, Condtition, Value and Appearance are all very good. Seller is A++++
- ****o (58)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéBook is new - as described.