Algebraic geometry and commutative algebra : in honor of Masayoshi Nagata. Volume I /

Algebraic Geometry and Commutative Algebra.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Nagata, Masayoshi, 1927-2008 (honouree.), Hijikata, Hiroaki, 1936- (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Tokyo ; Orlando : Academic Press, 1988.
Temas:
Nagata, Masayoshi, > 1927-2008.
Nagata, Masayoshi, > 1927-2008
Geometry, Algebraic.
Commutative algebra.
G�eom�etrie alg�ebrique.
Alg�ebre commutative.
Commutative algebra
Geometry, Algebraic
Festschriften
Festschriften.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 �etale slice theorem; 3. The �nnite 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 f�ibration over a curve; 4. Polarized surfaces of sectional genus two; Appendix; References

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