A New Triangulated Category for Rational Surface Singularities
Algebraic Geometry
2011-07-08 v2 Representation Theory
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.
Cite
@article{arxiv.0905.3940,
title = {A New Triangulated Category for Rational Surface Singularities},
author = {Osamu Iyama and M. Wemyss},
journal= {arXiv preprint arXiv:0905.3940},
year = {2011}
}
Comments
15 pages, minor changes. Final version