4 papers
Derived categories of resolutions of cyclic quotient singularities
Andreas Krug, David Ploog, Pawel Sosna
For a cyclic group acting on a smooth variety with only one character occurring in the -equivariant decomposition of the normal bundle of the fixed point locus, we study…
Some remarks on phantom categories and motives
Pawel Sosna
A phantom category is an admissible subcategory with vanishing Grothendieck group of the bounded derived category of coherent sheaves on a smooth projective variety. The goal of th…
Some properties of dynamical degrees with a view towards cubic fourfolds
Christian Böhning, Hans-Christian Graf von Bothmer, Pawel Sosna
Dynamical degrees and spectra can serve to distinguish birational automorphism groups of varieties in quantitative, as opposed to only qualitative, ways. We introduce and discuss s…
On autoequivalences of some Calabi--Yau and hyperkähler varieties
David Ploog, Pawel Sosna
We show how one can construct new autoequivalences of some Calabi-Yau and hyperk"ahler varieties by passing from a smooth projective surface to the associated Hilbert scheme of poi…