A NEW TRIANGULATED CATEGORY FOR RATIONAL SURFACE SINGULARITIES

Osamu Iyama, Michael Wemyss

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)325-341
Number of pages17
JournalIllinois journal of mathematics
Volume55
Issue number1
Publication statusPublished - 2011

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