The Singularity Category Of An Exact Category Applied To Characterize Gorenstein Schemes

نویسندگان

چکیده

Abstract We construct a non-affine analogue of the singularity category Gorenstein local ring. With this, Buchweitz’s classic equivalence three triangulated categories over ring has been generalized to schemes, project started by Murfet and Salarian more than ten years ago. Our construction originates in framework we develop for exact categories. As an application this non-commutative setting, characterize rings finite finitistic dimension.

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ژورنال

عنوان ژورنال: Quarterly Journal of Mathematics

سال: 2022

ISSN: ['0033-5606', '1464-3847']

DOI: https://doi.org/10.1093/qmath/haac013