An observation on (-1)-curves on rational surfaces
Algebraic Geometry
2017-10-04 v2
Abstract
We give an effective iterative characterization of the classes of (smooth, rational) (-1)-curves on the blowup of the projective plane at general points. Such classes are characterized as having self-intersection -1, arithmetic genus 0, and intersecting every (-1)-curve of smaller degree nonnegatively.
Cite
@article{arxiv.1709.03518,
title = {An observation on (-1)-curves on rational surfaces},
author = {Olivia Dumitrescu and Brian Osserman},
journal= {arXiv preprint arXiv:1709.03518},
year = {2017}
}
Comments
6 pages. v2: correction to statement of Lemma 2.2; rest of paper unaffected