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- catalog contributor b5861627.
- catalog contributor b5861628.
- catalog contributor b5861629.
- catalog created "1994.".
- catalog date "1994".
- catalog date "1994.".
- catalog dateCopyrighted "1994.".
- catalog description "Ch. 0. Preliminaries. 1. Definitions. 2. First properties. 3. Good and bad actions. 4. Further properties. 5. Resumé of some results of Grothendieck -- Ch. 1. Fundamental theorems for the actions of reductive groups. 1. Definitions. 2. The affine case. 3. Linearization of an invertible sheaf. 4. The general case. 5. Functional properties -- Ch. 2. Analysis of stability. 1. A numeral criterion. 2. The flag complex. 3. Applications -- Ch. 3. An elementary example. 1. Pre-stability. 2. Stability -- Ch. 4. Further examples. 1. Binary quantics. 2. Hypersurfaces. 3. Counter-examples. 4. Sequences of linear subspaces. 5. The projective adjoint action. 6. Space curves -- Ch. 5. The problem of moduli -- 1st construction. 1. General discussion. 2. Moduli as an orbit space. 3. First chern classes. 4. Utilization of 4.6 -- Ch. 6. Abelian schemes. 1. Duals. 2. Polarizations. 3. Deformations -- Ch. 7. The method of covariants -- 2nd construction. 1. The technique. 2. Moduli as an orbit space. 3. The covariant. 4. Application to curves -- Ch. 8. The moment map. 1. Symplectic geometry. 2. Symplectic quotients and geometric invariant theory. 3. Kahler and hyperkahler quotients. 4. Singular quotients. 5. Geometry of the moment map. 6. The cohomology of quotients: the symplectic case. 7. The cohomology of quotients: the algebraic case. 8. Vector bundles and the Yang-Mills functional. 9. Yang-Mills theory over Riemann surfaces.".
- catalog description "Includes bibliographical references (p. [253]-290) and index.".
- catalog extent "xiv, 292 p. :".
- catalog hasFormat "Geometric invariant theory.".
- catalog identifier "0387569634 (acid-free paper : New York)".
- catalog identifier "3540569634 (acid-free paper : Berlin)".
- catalog isFormatOf "Geometric invariant theory.".
- catalog isPartOf "Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 34".
- catalog isPartOf "Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 34.".
- catalog issued "1994".
- catalog issued "1994.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Geometric invariant theory.".
- catalog subject "516.3/5 20".
- catalog subject "Geometry, Algebraic.".
- catalog subject "Invariants.".
- catalog subject "Moduli theory.".
- catalog subject "QA564 .M85 1994".
- catalog tableOfContents "Ch. 0. Preliminaries. 1. Definitions. 2. First properties. 3. Good and bad actions. 4. Further properties. 5. Resumé of some results of Grothendieck -- Ch. 1. Fundamental theorems for the actions of reductive groups. 1. Definitions. 2. The affine case. 3. Linearization of an invertible sheaf. 4. The general case. 5. Functional properties -- Ch. 2. Analysis of stability. 1. A numeral criterion. 2. The flag complex. 3. Applications -- Ch. 3. An elementary example. 1. Pre-stability. 2. Stability -- Ch. 4. Further examples. 1. Binary quantics. 2. Hypersurfaces. 3. Counter-examples. 4. Sequences of linear subspaces. 5. The projective adjoint action. 6. Space curves -- Ch. 5. The problem of moduli -- 1st construction. 1. General discussion. 2. Moduli as an orbit space. 3. First chern classes. 4. Utilization of 4.6 -- Ch. 6. Abelian schemes. 1. Duals. 2. Polarizations. 3. Deformations -- Ch. 7. The method of covariants -- 2nd construction. 1. The technique. 2. Moduli as an orbit space. 3. The covariant. 4. Application to curves -- Ch. 8. The moment map. 1. Symplectic geometry. 2. Symplectic quotients and geometric invariant theory. 3. Kahler and hyperkahler quotients. 4. Singular quotients. 5. Geometry of the moment map. 6. The cohomology of quotients: the symplectic case. 7. The cohomology of quotients: the algebraic case. 8. Vector bundles and the Yang-Mills functional. 9. Yang-Mills theory over Riemann surfaces.".
- catalog title "Geometric invariant theory / D. Mumford, J. Fogarty, F. Kirwan.".
- catalog type "text".