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البحث المتقدم
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إختر اللغة
فارسی
English
العربی
عنوان
Lectures on Invariant Theory /
پدید آورنده
Igor Dolgachev.
موضوع
Geometry, Algebraic.,Geometry, Differential.,Invariants.,Linear algebraic groups.,Geometry, Algebraic.,Geometry, Differential.,Invariants.,Linear algebraic groups.,MATHEMATICS-- Algebra-- Linear.
رده
QA201
.
D65
2002
کتابخانه
کتابخانه مطالعات اسلامی به زبان های اروپایی
محل استقرار
استان:
قم
ـ شهر:
قم
تماس با کتابخانه :
32910706
-
025
0511615434
0521525489
1107362261
1107367174
9780511615436
9780521525480
9781107362260
9781107367173
b705712
Lectures on Invariant Theory /
[Book]
Igor Dolgachev.
Cambridge :
Cambridge University Press,
2003.
1 online resource (236 pages)
London Mathematical Society Lecture Note Series ;
no. 296
Title from publishers bibliographic system (viewed 22 Dec 2011).
Includes bibliographical references and index.
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.
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.
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.
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
This 2003 book is a brief introduction to algebraic and geometric invariant theory with numerous examples and exercises.
9780521525480
Geometry, Algebraic.
Geometry, Differential.
Invariants.
Linear algebraic groups.
Geometry, Algebraic.
Geometry, Differential.
Invariants.
Linear algebraic groups.
MATHEMATICS-- Algebra-- Linear.
MAT-- 002050
512
.
5
21
QA201
.
D65
2002
Dolgachev, I., (Igor V.)
20201207210307.0
pn
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