Determinantal Rings
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coher...
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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1327 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Determinantal rings, Winfried Bruns, Udo Vetter, 1988, Berlin, Springer, 1 vol. (VII-236 p.), Lecture notes in mathematics, 3-540-19468-1 • Determinantal Rings, Texte imprimé, 9783662183878 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
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| 084 | |a 13-02. 1980 | ||
| 084 | |a 13C05. 1980 | ||
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| 100 | 1 | |a Bruns, Winfried, |d 1946- | |
| 245 | 1 | 0 | |a Determinantal Rings |c Winfried Bruns, Udo Vetter. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1327 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Ideals of maximal minors -- Generically perfect ideals -- Algebras with straightening law on posets of minors -- The structure of an ASL -- Integrity and normality. The singular locus -- Generic points and invariant theory -- The divisor class group and the canonical class -- Powers of ideals of maximal minors -- Primary decomposition -- Representation theory -- Principal radical systems -- Generic modules -- The module of Kähler differentials -- Derivations and rigidity. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings. | ||
| 650 | |a Anneaux déterminantiels | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Groupes topologiques | ||
| 700 | 1 | |a Vetter, Udo, |d 1938- |4 aut | |
| 776 | 0 | |0 020757433 |t Determinantal rings |f Winfried Bruns, Udo Vetter |d 1988 |c Berlin |n Springer |p 1 vol. (VII-236 p.) |s Lecture notes in mathematics |z 3-540-19468-1 | |
| 776 | 0 | |t Determinantal Rings |b Texte imprimé |z 9783662183878 | |
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| 856 | 4 | |5 180339901:754025268 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0080378 |z Accès INSA CVL | |
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