A Phantom on a Rational Surface
arXiv:2304.01269 · doi:10.1007/s00222-023-01234-0
Abstract
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 counterexample to a conjecture of Kuznetsov and to a conjecture of Orlov.
6 pages, added application to presilting objects in introduction