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

Maycol Falla Luza

arxiv: 1002.4166 · v1 · submitted 2010-02-22 · 🧮 math.CV · math.AG

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

Maycol Falla Luza This is my paper

classification 🧮 math.CV math.AG

keywords algebraicdifferentialmathbbordersecondsolutionsanalogousbidegree

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

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

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