Negative curves on special rational surfaces
Algebraic Geometry
2020-04-28 v2
Abstract
We study negative curves on surfaces obtained by blowing up special configurations of points in the complex projective palne. Our main results concern the following configurations: very general points on a cubic, 3-torsion points on an elliptic curve and nine Fermat points. As a consequence of our analysis, we also show that the Bounded Negativity Conjecture holds for the surfaces we consider. The note contains also some problems for future attention.
Cite
@article{arxiv.1909.05899,
title = {Negative curves on special rational surfaces},
author = {Marcin Dumnicki and Lucja Farnik and Krishna Hanumanthu and Grzegorz Malara and Tomasz Szemberg and Justyna Szpond and Halszka Tutaj-Gasinska},
journal= {arXiv preprint arXiv:1909.05899},
year = {2020}
}
Comments
11 pages, v.2 13 pages, major revision