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Singularity categories and NCCRs as obstructions to tilting on singular projective varieties Kalck, Martin

Description

We show that the bounded derived category of many singular projectve varieties (with isolated singularities) does not admit tilting objects (and more generally no semiorthogonal decompositions of "Kawamata-typeâ ). Using singularity categories, most of our obstructions come from cluster theory via NCCRs and also from negative K-theory. Our approach is inspired by recent work of Kawamata. This is joint work with N.Pavic and E.Shinder.

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