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 prove an analogous result for webs on $\mathbb{P}^{2}$.
Citation
M. Falla Luza. "On the density of second order differential equations without algebraic solutions on $\mathbb{P}^{2}$." Publ. Mat. 55 (1) 163 - 183, 2011.
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