On intrinsic negative curves

Antonio Laface; Luca Ugaglia

On intrinsic negative curves

Algebraic Geometry 2022-09-30 v2

Authors: Antonio Laface , Luca Ugaglia

Abstract

Let $\mathbb K$ be an algebraically closed field of characteristic $0$ . A curve of $(\mathbb K^*)^2$ arising from a Laurent polynomial in two variables is {\em intrinsic negative} if its tropical compactification has negative self-intersection. The aim of this note is to start a systematic study of these curves and to relate them with the problem of computing Seshadri constants of toric surfaces.

Keywords

curves algebraic curves

Cite

@article{arxiv.2102.09034,
  title  = {On intrinsic negative curves},
  author = {Antonio Laface and Luca Ugaglia},
  journal= {arXiv preprint arXiv:2102.09034},
  year   = {2022}
}