8 citations · 9 across the 3 of their papers we have counts for
3 papers
math.AG2023★ 1 cited
Autoequivalences of Blow-Ups of Minimal Surfaces
Xianyu Hu, Johannes Krah
Let X be the blow-up of the projective plane in a finite set of very general points. We deduce from the work of Uehara that X has only standard autoequivalences, no nontrivial Four…
math.AG2023★ 8 cited
A Phantom on a Rational Surface
Johannes Krah
We construct a non-full exceptional collection of maximal length consisting of line bundles on the blow-up of the projective plane in 10 points in general position. This provides a…
math.AG2022
Mutations of Numerically Exceptional Collections on Surfaces
Johannes Krah
A conjecture of Bondal-Polishchuk states that, in particular for the bounded derived category of coherent sheaves on a smooth projective variety, the action of the braid group on f…