Unbounded negativity on rational surfaces in positive characteristic
Algebraic Geometry
2021-03-04 v1
Abstract
We give explicit blowups of the projective plane in positive characteristic that contain smooth rational curves of arbitrarily negative self-intersection, showing that the Bounded Negativity Conjecture fails even for rational surfaces in positive characteristic.
Cite
@article{arxiv.2103.02172,
title = {Unbounded negativity on rational surfaces in positive characteristic},
author = {Raymond Cheng and Remy van Dobben de Bruyn},
journal= {arXiv preprint arXiv:2103.02172},
year = {2021}
}
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12 pages