9 citations · 19 across the 4 of their papers we have counts for
8 papers
Classifying dg-categories of matrix factorizations
Martin Kalck
We give a complete classification of differential -graded homotopy categories of matrix factorizations of isolated singularities up to quasi-equivalence. This answers a…
A new equivalence between singularity categories of commutative algebras
Martin Kalck
We construct a triangle equivalence between the singularity categories of two isolated cyclic quotient singularities of Krull dimensions two and three, respectively. This is the fi…
Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory
Martin Kalck, Nebojsa Pavic, Evgeny Shinder
We investigate necessary conditions for Gorenstein projective varieties to admit semiorthogonal decompositions introduced by Kawamata, with main emphasis on threefolds with isolate…
Relative singularity categories II: DG models
Martin Kalck, Dong Yang
We study the relationship between singularity categories and relative singularity categories and discuss constructions of differential graded algebras of relative singularity categ…
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…