"Geometric Invariant Theory" by Mumford/Fogarty (the first edition was published in 1965, a second, enlarged editon appeared in 1982) is the standard reference on applications of invariant theory to the construction of moduli spaces. This third, revised edition has been long awaited for by the mathematical community. It is now appearing in a completely updated and enlarged version with an additional chapter on the moment map by Prof. Frances Kirwan (Oxford) and a fully updated bibliography of work in this area. The book deals firstly with actions of algebraic groups on algebraic varieties, separating orbits by invariants and construction quotient spaces; and secondly with applications of this theory to the construction of moduli spaces. It is a systematic exposition of the geometric aspects of the classical theory of polynomial invariants.
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uniform categorical quotient, projective abelian scheme, universal categorical quotient, whose geometric points, geometric quotient, semistable points, geometric reductivity, geometric fibres, reflexive sheaves, coarse moduli scheme, chow form, affine open covering, invertible sheaves, invertible sheaf, stable bundles, symplectic quotients, moduli space, geometric invariant theory, moment map, algebraic group acting, chow point, stable vector bundles, noetherian schemes, fourteenth problem, abelian schemes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hermitian Yang-Mills, Apply Corollary New!
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uniform categorical quotient, projective abelian scheme, universal categorical quotient, whose geometric points, geometric quotient, semistable points, geometric reductivity, geometric fibres, reflexive sheaves, coarse moduli scheme, chow form, affine open covering, invertible sheaves, invertible sheaf, stable bundles, symplectic quotients, moduli space, geometric invariant theory, moment map, algebraic group acting, chow point, stable vector bundles, noetherian schemes, fourteenth problem, abelian schemes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hermitian Yang-Mills, Apply Corollary New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 26
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100
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- Algebraic Geometry by F. Oort in Back Matter (1), and Back Matter (2)
- Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Michel Ledoux in Back Matter
- Partial Differential Relations (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Mikhael Gromov in Back Matter
- Around Burnside (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 3 Folge) by A. I. Kostrikin in Back Matter
- Principles of Algebraic Geometry by Phillip Griffiths in Back Matter
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- Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action by A. Bialynicki-Birula on page 17, page 79, and page 81
- Singularities (London Mathematical Society Lecture Note Series) by Jean-Paul Brasselet on page 119, page 120, and page 146
- Topological Methods (Progress in Mathematics) by Kraft on page 104, page 150, and page 163
- Analytical and Topological Theory of Semigroups: Trends and Developments (De Gruyter Expositions in Mathematics) by Lawson Hofmann on page 95, and page 101
- Gauge Theory and the Topology of Four-Manifolds (Ias/Park City Mathematics Series, V. 4) by Robert Friedman on page 21, and page 47
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