Relative singularity categories I: Auslander resolutions

Let R be an isolated Gorenstein singularity with a non-commutative resolution A=End_R(R\oplus M). In this paper, we show that the relative singularity category \Delta_R(A) of A has a number of pleasant properties, such as being Hom-finite. Moreover, it determines the classical singularity category D...
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Author:

Kalck, Martin

Yang, Dong

Format:

Article

Language:

English

Containing Work:

in: Advances in mathematics - Amsterdam [u.a.] : Elsevier, Vol. 301 (2016), p. 973-1021

Links:

Volltext

http://arxiv.org/abs/1205.1008

DOI / URN:

10.1016/j.aim.2016.06.011

Catalog id:

OLC198211102X

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