62 citations · 265 across the 23 of their papers we have counts for
4 papers · 1 filter
Ringel duality for certain strongly quasi-hereditary algebras
Martin Kalck, Joseph Karmazyn
We introduce quasi-hereditary endomorphism algebras defined over a new class of finite dimensional monomial algebras with a special ideal structure. The main result is a uniform fo…
A remark on Leclerc's Frobenius categories
Martin Kalck
Leclerc recently studied certain Frobenius categories in connection with cluster algebra structures on coordinate rings of intersections of opposite Schubert cells. We show that th…
Relative Singularity Categories
Martin Kalck
We study the following generalization of singularity categories. Let X be a quasi-projective Gorenstein scheme with isolated singularities and A a non-commutative resolution of sin…
Noncommutative Knörrer type equivalences via noncommutative resolutions of singularities
Martin Kalck, Joseph Karmazyn
We construct Knörrer type equivalences outside of the hypersurface case, namely, between singularity categories of cyclic quotient surface singularities and certain finite dimensio…