On the Sylvester-Gallai theorem for conics
Algebraic Geometry
2018-03-20 v1 Combinatorics
Abstract
In the present note we give a new proof of a result due to Wiseman and Wilson which establishes an analogue of the Sylvester-Gallai theorem valid for curves of degree two. The main ingredients of the proof come from algebraic geometry. Specifically, we use Cremona transformation of the projective plane and Hirzebruch inequality.
Cite
@article{arxiv.1411.2648,
title = {On the Sylvester-Gallai theorem for conics},
author = {Adam Czaplinski and Marcin Dumnicki and Lucja Farnik and Janusz Gwozdziewicz and Magdalena Lampa-Baczynska and Grzegorz Malara and Tomasz Szemberg and Justyna Szpond and Halszka Tutaj-Gasinska},
journal= {arXiv preprint arXiv:1411.2648},
year = {2018}
}
Comments
10 pages, notes after a Lanckorona workshop, October 2014