On the density of Second Order Differential Equations without algebraic solutions on $\mathbb{P}}^{2}$
Complex Variables
2010-02-23 v1 Algebraic Geometry
Abstract
We prove that a generic second order differential equation in the projective plane has no algebraic solutions when the bidegree is big enough. We also proof an analogous result for webs on \mathbb{P}}^{2}.
Cite
@article{arxiv.1002.4166,
title = {On the density of Second Order Differential Equations without algebraic solutions on $\mathbb{P}}^{2}$},
author = {Maycol Falla Luza},
journal= {arXiv preprint arXiv:1002.4166},
year = {2010}
}