Iyama, O. and Wemyss, M. (2011) A new triangulated category for rational surface singularities. Illinois Journal of Mathematics, 55(1), pp. 325-341.
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Publisher's URL: https://projecteuclid.org/euclid.ijm/1355927039
Abstract
In this 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 stable quotient of the Frobenius 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.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Wemyss, Professor Michael |
Authors: | Iyama, O., and Wemyss, M. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Illinois Journal of Mathematics |
Publisher: | University Of Illinois |
ISSN: | 0019-2082 |
Copyright Holders: | Copyright © 2011 University of Illinois |
First Published: | First published in Illinois Journal of Mathematics 5591):325-341 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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