Geometric invariant theory/ (Record no. 170328)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00403nam a2200145Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540569634 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.35 |
| Item number | MUM/G |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Mumford, D. |
| 245 #0 - TITLE STATEMENT | |
| Title | Geometric invariant theory/ |
| Statement of responsibility, etc. | D. Mumford, J. Fogarty and F. Kirwan |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 3rd enl. ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Berlin: |
| Name of publisher, distributor, etc. | Springer-Verlag, |
| Date of publication, distribution, etc. | c1994. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 292 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preliminaries --<br/>1. Definitions --<br/>2. First properties --<br/>3. Good and bad actions --<br/>4. Further properties --<br/>5. Resume of some results of Grothendieck --<br/>Fundamental theorems for the actions of reductive groups --<br/>1. Definitions --<br/>2. The affine case --<br/>3. Linearization of an invertible sheaf --<br/>4. The general case --<br/>5. Functional properties --<br/>Analysis of stability --<br/>1. A numeral criterion --<br/>2. The flag complex --<br/>3. Applications --<br/>An elementary example --<br/>1. Pre-stability --<br/>2. Stability --<br/>4. Further examples --<br/>1. Binary quantics --<br/>2. Hypersurfaces --<br/>3. Counter-examples --<br/>4. Sequences of linear subspaces --<br/>5. The projective adjoint action --<br/>6. Space curves --<br/>The problem of moduli --<br/>1st construction --<br/>1. General discussion --<br/>2. Moduli as an orbit space --<br/>3. First chern classes --<br/>4. Utilization of 4.6 --<br/>Abelian schemes --<br/>1. Duals --<br/>2. Polarizations --<br/>3. Deformations --<br/>The method of covariants --<br/>2nd construction --<br/>1. The technique --<br/>2. Moduli as an orbit space --<br/>3. The covariant --<br/>4. Application to curves --<br/>The moment map --<br/>1. Symplectic geometry --<br/>2. Symplectic quotients and geometric invariant theory --<br/>3. Kahler and hyperkahler quotients --<br/>4. Singular quotients --<br/>5. Geometry of the moment map --<br/>6. The cohomology of quotients: the symplectic case --<br/>7. The cohomology of quotients: the algebraic case --<br/>8. Vector bundles and the Yang-Mills functional --<br/>9. Yang-Mills theory over Riemann surfaces. |
| 650 ## - SUBJECT | |
| Keyword | Algebraic Geometry |
| 650 ## - SUBJECT | |
| Keyword | Invariants |
| 650 ## - SUBJECT | |
| Keyword | Moduli theory |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Fogarty, J. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kirwan, F. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 27/10/2016 | 516.35 MUM/G | P25305 | 29/08/2016 | General Books |