Algebraic Geometry and Commutative Algebra : In Honor of Masayoshi Nagata
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| Title: | Algebraic Geometry and Commutative Algebra : In Honor of Masayoshi Nagata |
|---|---|
| Description: | 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. |
| Authors: | Hiroaki Hijikata, Heisuke Hironaka, Masaki Maruyama |
| Resource Type: | eBook. |
| Subjects: | Geometry, Algebraic, Commutative algebra |
| Categories: | MATHEMATICS / Geometry / General, MATHEMATICS / General |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 931532 RelevancyScore: 1057 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1057.36352539063 |
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| Items | – Name: Title Label: Title Group: Ti Data: Algebraic Geometry and Commutative Algebra : In Honor of Masayoshi Nagata – Name: Abstract Label: Description Group: Ab Data: 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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hiroaki+Hijikata%22">Hiroaki Hijikata</searchLink><br /><searchLink fieldCode="AR" term="%22Heisuke+Hironaka%22">Heisuke Hironaka</searchLink><br /><searchLink fieldCode="AR" term="%22Masaki+Maruyama%22">Masaki Maruyama</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Geometry%2C+Algebraic%22">Geometry, Algebraic</searchLink><br /><searchLink fieldCode="DE" term="%22Commutative+algebra%22">Commutative algebra</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+General%22">MATHEMATICS / Geometry / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+General%22">MATHEMATICS / General</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 516.35 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Geometry, Algebraic Type: general – SubjectFull: Commutative algebra Type: general Titles: – TitleFull: Algebraic Geometry and Commutative Algebra : In Honor of Masayoshi Nagata Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hiroaki Hijikata – PersonEntity: Name: NameFull: Heisuke Hironaka – PersonEntity: Name: NameFull: Masaki Maruyama – PersonEntity: Name: NameFull: Hiroaki Hijikata – PersonEntity: Name: NameFull: Heisuke Hironaka – PersonEntity: Name: NameFull: Masaki Maruyama IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2014 – D: 28 M: 01 Type: profile Y: 2015 Identifiers: – Type: isbn-print Value: 9780123480316 – Type: isbn-electronic Value: 9781483265186 Titles: – TitleFull: Algebraic Geometry and Commutative Algebra : In Honor of Masayoshi Nagata Type: main |
| ResultId | 1 |
