Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata
Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invar...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Kent
Elsevier Science
2014
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Schlagworte: | |
Zusammenfassung: | Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups.The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p.This monograph will be a useful resource for practitioners and researchers in algebra and geometry |
Beschreibung: | Description based on publisher supplied metadata and other sources |
Beschreibung: | 1 online resource (417 pages) |
ISBN: | 9781483265186 9780123480316 |
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520 | |a Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups.The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p.This monograph will be a useful resource for practitioners and researchers in algebra and geometry | ||
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author | Hijikata, Hiroaki |
author_facet | Hijikata, Hiroaki |
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dewey-ones | 516 - Geometry |
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discipline | Mathematik |
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spelling | Hijikata, Hiroaki Verfasser aut Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata Kent Elsevier Science 2014 © 1988 1 online resource (417 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups.The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p.This monograph will be a useful resource for practitioners and researchers in algebra and geometry Datenverarbeitung Commutative algebra -- Data processing Geometry, Algebraic -- Data processing Nagata, Masayoshi, -- 1927-2008 Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf (DE-588)4016928-5 Festschrift gnd-content (DE-588)4143413-4 Aufsatzsammlung gnd-content Algebraische Geometrie (DE-588)4001161-6 s DE-604 Kommutative Algebra (DE-588)4164821-3 s Hironaka, Heisuke Sonstige oth Maruyama, Masaki Sonstige oth Erscheint auch als Druck-Ausgabe Hijikata, Hiroaki Algebraic Geometry and Commutative Algebra : In Honor of Masayoshi Nagata |
spellingShingle | Hijikata, Hiroaki Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata Datenverarbeitung Commutative algebra -- Data processing Geometry, Algebraic -- Data processing Nagata, Masayoshi, -- 1927-2008 Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
subject_GND | (DE-588)4164821-3 (DE-588)4001161-6 (DE-588)4016928-5 (DE-588)4143413-4 |
title | Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata |
title_auth | Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata |
title_exact_search | Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata |
title_full | Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata |
title_fullStr | Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata |
title_full_unstemmed | Algebraic Geometry and Commutative Algebra In Honor of Masayoshi Nagata |
title_short | Algebraic Geometry and Commutative Algebra |
title_sort | algebraic geometry and commutative algebra in honor of masayoshi nagata |
title_sub | In Honor of Masayoshi Nagata |
topic | Datenverarbeitung Commutative algebra -- Data processing Geometry, Algebraic -- Data processing Nagata, Masayoshi, -- 1927-2008 Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
topic_facet | Datenverarbeitung Commutative algebra -- Data processing Geometry, Algebraic -- Data processing Nagata, Masayoshi, -- 1927-2008 Kommutative Algebra Algebraische Geometrie Festschrift Aufsatzsammlung |
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