Homology, Homotopy and Applications
Volume 18 (2016)
Complete intersections and equivalences with categories of matrix factorizations
Pages: 377 – 390
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.
matrix factorization, complete intersection
2010 Mathematics Subject Classification
13D02, 13D09, 18E30