paper

On the density of Second Order Differential Equations without algebraic solutions on $\mathbb{P}}^{2}$

arXiv:1002.4166

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 $\mathbb{P}}^{2}$.

On the density of Second Order Differential Equations without algebraic solutions on $\mathbb{P}}^{2}$ · wovepaper