Algebraic geometry and commutative algebra in honor of Masayoshi Nagata. Volume I /
Algebraic Geometry and Commutative Algebra.
| Other Authors: | Nagata, Masayoshi, 1927-2008,, Hijikata, Hiroaki, 1936-, ScienceDirect (Online service) |
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| Format: | eBook |
| Language: | English |
| Published: |
Tokyo ; Orlando :
Academic Press,
1988.
|
| Physical Description: |
1 online resource : illustrations, portrait. |
| Subjects: |
| Summary: |
Algebraic Geometry and Commutative Algebra. |
|---|---|
| Item Description: |
Includes bibliographical references. Front Cover; Algebraic Geometry and Commutative Algebra in Honor of Masayoshi NAGATA; Copyright Page; Foreword; Table of Contents of Volume II; Determinantal Loci and Enumerative Combinatorics of Young Tableaux; 1. Introduction; First Chapter. YOUNG TABLEAUX AND DETERMINANTAL POLYNOMIALS IN BINOMIAL COEFFICIENTS; 2. Tableaux and monomials; 3. Determinantal polynomials of any width; 4. Determinantal polynomials of width two; Second Chapter.ENUMERATION OF YOUNG TABLEAUX; 5. Counting tableaux of any width; 6. Bitableaux; 7. Counting bitableaux; 8. Counting monomials; 9. Bitableaux and monomials. Third Chapter.UNIVERSAL DETERMINANTAL IDENTITY10. Preamble; 11. The mixed size case; 12. The cardinality condition; 13. The maximal size case; 14. The basic case; 15. Laplace development; 16. The full depth case; 17. Deduction of the full depth case; 18. The straightening law; 19. Problem; Fourth Chapter.APPLICATIONS TO IDEAL THEORY; 20. Determinantal loci; 21. Vector spaces and homogeneous rings; 22. Standard basis; 23. Second fundamental theorem of invariant theory; 24. Generalized second fundamental theorem of invariant theory; References. 6. Moduli7. Explanations; References; On Rings of Invariants of Finite Linear Groups; 1. Fundamental groups; 2. Proof of Theorem A; 3. Additional results; References; Invariant Differentials; 1. Introduction; 2. Use of the étale slice theorem; 3. The ñnite group case; References; Classification of Polarized Manifoldsof Sectional Genus Two; Introduction; Notation, Convention and Terminology; 1. Classification, first step; 2. The case K ̃(3 -- n)L; 3. The case of a hyperquadric fíbration over a curve; 4. Polarized surfaces of sectional genus two; Appendix; References. Algebraic Geometry and Commutative Algebra. English. |
| Physical Description: |
1 online resource : illustrations, portrait. |
| Bibliography: |
Includes bibliographical references. |
| ISBN: |
9780123480316 0123480310 1483265188 9781483265186 |