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OverviewDeterminantal 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. Full Product DetailsAuthor: Winfried Bruns , Udo VetterPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1988 ed. Volume: 1327 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.780kg ISBN: 9783540194682ISBN 10: 3540194681 Pages: 240 Publication Date: 22 June 1988 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD We will order this item for you from a manufatured on demand supplier. Table of ContentsPreliminaries.- 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 Kahler differentials.- Derivations and rigidity.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |