Equations differentielles sur les hypersurfaces de l'espace projectif complexe de dimension 4

Details Equations differentielles sur les hypersurfaces de l'espace projectif complexe de dimension 4 Equations differentielles sur les hypersurfaces de l'espace projectif complexe de dimension 4

2005-10-13

arxiv.org/abs/math/0510284v2

J. Math. Pures Appl., 86, 2006, 322-341

Mathematics

Algebraic Geometry

30 pages, in french, final version

Scientific paper

The main goal of this work is to prove that every entire curve in a smooth hypersurface of degree greater than or equal to 97 in the complex projective space of dimension 4 must satisfy an algebraic differential equation of order 3. A logarithmic version of this result is given proving that every entire curve in the complement of a smooth surface of degree greater than or equal to 92 in the complex projective space of dimension 3 must satisfy an algebraic differential equation of order 3.

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