Algebraic geometry and commutative algebra in honor of Masayoshi Nagata. Volume I / edited by Hiroaki Hijikata [and six others].

Format:

Book

Contributor:

Hijikata, Hiroaki, editor.

Language:

English

Subjects (All):

Geometry, Algebraic--Data processing.

Geometry, Algebraic.

Physical Description:

1 online resource (417 p.)

Place of Publication:

Tokyo : Academic Press, [1988]

Language Note:

English

Summary:

Algebraic Geometry and Commutative Algebra

Contents:

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

12. Proof of Theorem 1

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters.

Description based on print version record.

ISBN:

1-4832-6518-8