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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-Olaf
Mond, David
Keywords: Linear Free Divisors
Quiver Representations
algebraic geometry
representation 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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