On the self-intersection number of the nonsingular models of rational cuspidal plane curves
Algebraic Geometry
2014-08-04 v1
Abstract
In this paper, we consider rational cuspidal plane curves having at least three cusps. We give an upper bound of the self-intersection number of the proper transforms of such curves via the minimal embedded resolution of the cusps. For a curve having exactly three cusps, we show that the self-intersection number is equal to the bound if and only if the curve coincides with the quartic curve having three cusps.
Keywords
Cite
@article{arxiv.1408.0190,
title = {On the self-intersection number of the nonsingular models of rational cuspidal plane curves},
author = {Keita Tono},
journal= {arXiv preprint arXiv:1408.0190},
year = {2014}
}
Comments
17 pages