Homology, Homotopy and Applications

Volume 18 (2016)

Number 2

Complete intersections and equivalences with categories of matrix factorizations

Pages: 377 – 390

DOI: http://dx.doi.org/10.4310/HHA.2016.v18.n2.a21

Authors

Petter Andreas Bergh (Institutt for matematiske fag, NTNU, Trondheim, Norway)

David A. Jorgensen (Department of Mathematics, University of Texas, Arlington, Tx., U.S.A.)

Abstract

We prove that one can realize certain triangulated subcategories of the singularity category of a complete intersection as homotopy categories of matrix factorizations. Moreover, we prove that for any commutative ring and non-zerodivisor, the homotopy category of matrix factorizations embeds into the homotopy category of totally acyclic complexes of finitely generated projective modules over the factor ring.

Keywords

matrix factorization, complete intersection

2010 Mathematics Subject Classification

13D02, 13D09, 18E30

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