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 Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9933

 Title: Linear Free Divisors and Quiver Representations∗ Authors: Buchweitz, Ragnar-OlafMond, David Keywords: Linear Free DivisorsQuiver Representationsmathematicsalgebraic geometryrepresentation theory Issue Date: Aug-2006 Publisher: Cambridge University Press Citation: London Mathematical Society Lecture notes series 324, (2006) pgs. 41-77 Abstract: Linear free divisors are free divisors, in the sense of K.Saito, with linear presentation matrix (example: normal crossing divisors). Using techniques of deformation theory on representations of quivers, we exhibit families of linear free divisors as discriminants in representation spaces for real Schur roots of a finite quiver. We review some basic material on quiver representations, and explain in detail how to verify whether the discriminant is a free divisor and how to determine its components and their equations, using techniques of A. Schofield. As an illustration, the linear free divisors that arise as the discriminant from the highest roots of Dynkin quivers of type E7 and E8 are treated explicitly. Description: http://arXiv./org/abs/math.AG/0509221 URI: http://hdl.handle.net/1807/9933 ISSN: 0076-0552 Appears in Collections: Mathematics

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