Complete intersections and equivalences with categories of matrix factorizations
Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 377-390.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2016.v18.n2.a21
Classification : 13D02, 13D09, 18E30
Keywords: matrix factorization, complete intersection
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     title = {Complete intersections and equivalences with categories of matrix factorizations},
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Petter Andreas Bergh; David A. Jorgensen. Complete intersections and equivalences with categories of matrix factorizations. Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 377-390. doi : 10.4310/HHA.2016.v18.n2.a21. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a21/

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