Matrix Factorizations and Representations of Quivers II: type ADE case

Details Matrix Factorizations and Representations of Quivers II: type ADE case Matrix Factorizations and Representations of Quivers II: type ADE case

2005-11-07

arxiv.org/abs/math/0511155v2

Mathematics

Algebraic Geometry

v2: typos corrected, added an appendix by K.Ueda

Scientific paper

We study a triangulated category of graded matrix factorizations for a polynomial of type ADE. We show that it is equivalent to the derived category of finitely generated modules over the path algebra of the corresponding Dynkin quiver. Also, we discuss a special stability condition for the triangulated category in the sense of T. Bridgeland, which is naturally defined by the grading.

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