Singularities, Representation of Algebras, and Vector Bundles: Proceedings of a Symposium held in Lambrecht/Pfalz, Fed.Rep. of Germany, Dec. 13-17, 1985

ISBN-13: 9783540182634 / Angielski / Miękka / 1987 / 384 str.

Gert-Martin Greuel;Günther Trautmann

Opis

It 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. This volume contains 3 survey articles, as well as research papers.

Spis treści

Survey 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 Kurvensingularitäten.- 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 variétés 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.