عنوان
پدید آورنده
موضوع
رده
QA201 .D65 2002
QA201
.
D65
2002
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0511615434
(Number (ISBN
0521525489
(Number (ISBN
1107362261
(Number (ISBN
1107367174
(Number (ISBN
9780511615436
(Number (ISBN
9780521525480
(Number (ISBN
9781107362260
(Number (ISBN
9781107367173
NATIONAL BIBLIOGRAPHY NUMBER
Number
b705712
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Lectures on Invariant Theory /
General Material Designation
[Book]
First Statement of Responsibility
Igor Dolgachev.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cambridge :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
2003.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (236 pages)
SERIES
Series Title
London Mathematical Society Lecture Note Series ;
Volume Designation
no. 296
GENERAL NOTES
Text of Note
Title from publishers bibliographic system (viewed 22 Dec 2011).
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Cover -- Title -- Copyright -- Dedication -- Preface -- Introduction -- 1 The symbolic method -- 1.1 First examples -- 1.2 Polarization and restitution -- 1.3 Bracket functions -- Bibliographical notes -- Exercises -- 2 The First Fundamental Theorem -- 2.1 The omega-operator -- 2.2 The proof -- 2.3 Grassmann varieties -- 2.4 The straightening algorithm -- Bibliographical notes -- Exercises -- 3 Reductive algebraic groups -- 3.1 The Gordan-Hilbert Theorem -- 3.2 The unitary trick -- 3.3 Affine algebraic groups -- 3.4 Nagata's Theorem -- Bibliographical notes -- Exercises.
Text of Note
4 Hilbert's Fourteenth Problem -- 4.1 The problem -- 4.2 The Weitzenb ock Theorem -- 4.3 Nagata's counterexample -- Bibliographical notes -- Exercises -- 5 Algebra of covariants -- 5.1 Examples of covariants -- 5.2 Covariants of an action -- 5.3 Linear representations of reductive groups -- 5.4 Dominant weights -- 5.5 The Cayley-Sylvester formula -- 5.6 Standard tableaux again -- Bibliographical notes -- Exercises -- 6 Quotients -- 6.1 Categorical and geometric quotients -- 6.2 Examples -- 6.3 Rational quotients -- Bibliographical notes -- Exercises -- 7 Linearization of actions.
Text of Note
7.1 Linearized line bundles -- 7.2 The existence of linearization -- 7.3 Linearization of an action -- Bibliographical notes -- Exercises -- 8 Stability -- 8.1 Stable points -- 8.2 The existence of a quotient -- 8.3 Examples -- Bibliographical notes -- Exercises -- 9 Numerical criterion of stability -- 9.1 The function æ(x, .) -- 9.2 The numerical criterion -- 9.3 The proof -- 9.4 The weight polytope -- 9.5 Kempf-stability -- Bibliographical notes -- Exercises -- 10 Projective hypersurfaces -- 10.1 Nonsingular hypersurfaces -- 10.2 Binary forms -- 10.3 Plane cubics -- 10.4 Cubic surfaces.
Text of Note
Bibliographical notes -- Exercises -- 11 Configurations of linear subspaces -- 11.1 Stable configurations -- 11.2 Points in Pn -- 11.3 Lines in P3 -- Bibliographical notes -- Exercises -- 12 Toric varieties -- 12.1 Actions of a torus on an affine space -- 12.2 Fans -- 12.3 Examples -- Bibliographical notes -- Exercises -- Bibliography -- Index of Notation -- Index.
0
8
8
8
SUMMARY OR ABSTRACT
Text of Note
This 2003 book is a brief introduction to algebraic and geometric invariant theory with numerous examples and exercises.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9780521525480
TOPICAL NAME USED AS SUBJECT
Geometry, Algebraic.
Geometry, Differential.
Invariants.
Linear algebraic groups.
Geometry, Algebraic.
Geometry, Differential.
Invariants.
Linear algebraic groups.
MATHEMATICS-- Algebra-- Linear.
(SUBJECT CATEGORY (Provisional
MAT-- 002050
DEWEY DECIMAL CLASSIFICATION
Number
512
.
5
Edition
21
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA201
.
D65
2002
PERSONAL NAME - PRIMARY RESPONSIBILITY
Dolgachev, I., (Igor V.)
ORIGINATING SOURCE
Date of Transaction
20201207210307.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
