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arXiv · 0905.3940

A New Triangulated Category for Rational Surface Singularities

Osamu Iyama·M. Wemyss
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Abstract

In this short paper we introduce a new triangulated category for rational surface singularities which in the non-Gorenstein case acts as a substitute for the stable category of matrix factorizations. The category is formed as a Frobenius quotient of the category of special CM modules, and we classify the relatively projective-injective objects and thus describe the AR quiver of the quotient. Connections to the corresponding reconstruction algebras are also discussed.

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Osamu Iyama, M. Wemyss. 2011-07-07. A New Triangulated Category for Rational Surface Singularities. https://arxiv.org/abs/0905.3940

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