9 citations · 21 across the 11 of their papers we have counts for
8 papers · 1 filter
Categorical absorptions of cone singularities
Martin Kalck, Nebojsa Pavic, with a joint appendix by Yujiro Kawamata +1
We study Kuznetsov-Shinder's categorical absorption for certain cone singularities, generalizing their results for nodal singularities. In particular, we give explicit descriptions…
Obstructions to semiorthogonal decompositions for singular projective varieties II: Representation theory
Martin Kalck, Carlo Klapproth, Nebojsa Pavic
We show that odd-dimensional projective varieties with tilting objects and only ADE-hypersurface singularities are nodal, i.e. they only have -singularities. This is a very sp…
Length of triangulated categories
Yuki Hirano, Martin Kalck, Genki Ouchi
We introduce the notion of composition series of triangulated categories, which generalizes full exceptional sequences. The lengths of composition series yield invariants for trian…
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…