51 citations · 165 across the 20 of their papers we have counts for
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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…
Isoclinism and stable cohomology of wreath products
Fedor Bogomolov, Christian Böhning
Using the notion of isoclinism introduced by P. Hall for finite p-groups, we show that many important classes of finite p-groups have stable cohomology detected by abelian subgroup…