English

The flecnode polynomial: a central object in incidence geometry

Combinatorics 2014-04-15 v1 Classical Analysis and ODEs

Abstract

We give a brief exposition of the proof of the Cayley-Salmon theorem and its recent role in incidence geometry. Even when we don't use the properties of ruled surfaces explicitly, the regime in which we have interesting results in point-line incidence problems often coincides with the regime in which lines are organized into ruled surfaces.

Keywords

Cite

@article{arxiv.1404.3412,
  title  = {The flecnode polynomial: a central object in incidence geometry},
  author = {Nets Hawk Katz},
  journal= {arXiv preprint arXiv:1404.3412},
  year   = {2014}
}

Comments

12 pages. An expository note submitted to ICM proceedings

R2 v1 2026-06-22T03:49:42.965Z