On the density of second order differential equations without algebraic solutions on \(\mathbb{P}^2\) (Q624799)
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| Language | Label | Description | Also known as |
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| English | On the density of second order differential equations without algebraic solutions on \(\mathbb{P}^2\) |
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On the density of second order differential equations without algebraic solutions on \(\mathbb{P}^2\) (English)
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9 February 2011
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The author extends the 1970's Darboux-type results of Jouanolou and proves that a generic second order differential equation in the projective plane has no algebraic solutions when the bidegree is large enough.
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holomorphic foliation
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second order differential equation
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