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OverviewIt is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully exploited. These proceedings document recent developments in the area. The questions and methods of representation theory have applications to singularities and to vector bundles. Representation theory itself, which had primarily developed its methods for Artinian algebras, starts to investigate algebras of higher dimension partly because of these applications. Future research in representation theory may be spurred by the classification of singularities and the highly developed theory of moduli for vector bundles. The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers. Full Product DetailsAuthor: Gert-Martin Greuel , Günther TrautmannPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1987 ed. Volume: 1273 Dimensions: Width: 15.50cm , Height: 2.00cm , Length: 23.50cm Weight: 0.604kg ISBN: 9783540182634ISBN 10: 3540182632 Pages: 384 Publication Date: 09 September 1987 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsSurvey of vector bundles on curves.- Finite and countable CM-representation type.- Finite dimensional algebras and singularities.- Cohen-Macaulay modules on quadrics.- Monomial curves and obstructions on cyclic quotient singularities.- The Grothendieck group of invariant rings and of simple hypersurface singularities.- Torsionsfreie Moduln bei Deformation von Kurvensingularitaten.- Deformation of modules on curves and surfaces.- A characterisation of strictly unimodular plane curve singularities.- Polar curves, resolution of singularities and the filtered mixed hodge structure on the vanishing cohomology.- On the betti numbers of the milnor fibre of a certain class of hypersurface singularities.- Reflexive modules on cyclic quotient surface singularities.- Almost split sequences for ?-graded rings.- The auslander-reiten quiver of an isolated singularity.- A class of weighted projective curves arising in representation theory of finite dimensional algebras.- Repetitive categories.- Almost split sequences for some non-classical lattice categories.- Special instanton bundles and poncelet curves.- Groupe de picard des varietes de modules de faisceaux semi-stables sur ?2.- On the rationality of the moduli space for stable rank-2 vector bunoles on P2.- A theorem on zero schemes of sections in two-bundles over affine schemes with applications to set theoretic intersections.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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