A Phantom on a Rational Surface
Algebraic Geometry
2024-08-01 v2
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.
Cite
@article{arxiv.2304.01269,
title = {A Phantom on a Rational Surface},
author = {Johannes Krah},
journal= {arXiv preprint arXiv:2304.01269},
year = {2024}
}
Comments
6 pages, added application to presilting objects in introduction