51 citations · 182 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
On the Jordan-Hölder property for geometric derived categories
Christian Böhning, Hans-Christian Graf von Bothmer, Pawel Sosna
We prove that the semiorthogonal decompositions of the derived category of the classical Godeaux surface X do not satisfy the Jordan-Hölder property. More precisely, there are two…
Determinantal Barlow surfaces and phantom categories
Christian Böhning, Hans-Christian Graf von Bothmer, Ludmil Katzarkov +1
We prove that the bounded derived category of the surface S constructed by Barlow admits a length 11 exceptional sequence consisting of (explicit) line bundles. Moreover, we show t…
On the derived category of the classical Godeaux surface
Christian Böhning, Hans-Christian Graf von Bothmer, Pawel Sosna
We construct an exceptional sequence of length 11 on the classical Godeaux surface X which is the Z/5-quotient of the Fermat quintic surface in P^3. This is the maximal possible le…