4 papers
Categorical matrix factorizations and monomorphism categories
Jonas Frank, Mathias Schulze
This article generalizes the correspondence between matrix factorizations and maximal Cohen-Macaulay modules over hypersurface rings due to Eisenbud and Yoshino. We consider factor…
On the triangulated structure of stable monomorphism categories
Jonas Frank, Mathias Schulze
We investigate the triangulated structure of stable monomorphism categories (filtered chain categories) over a Frobenius category. The high degree of symmetry of linear quivers lea…
Representable triangulated functors in terms of semiorthogonal decompositions
Jonas Frank, Mathias Schulze
A theorem of Bondal and Kapranov lifts representations of cohomological functors from semiorthogonal decompositions of triangulated categories. We present a version of this result…
The stabilized bounded N-derived category of an exact category
Jonas Frank, Mathias Schulze
Buchweitz related the singularity category of a (strongly) Gorenstein ring and the stable category of maximal Cohen-Macaulay modules by a triangle equivalence. We phrase his result…