Equations differentielles sur les hypersurfaces de l'espace projectif complexe de dimension 4
Algebraic Geometry
2007-05-23 v2 Complex Variables
Abstract
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.
Cite
@article{arxiv.math/0510284,
title = {Equations differentielles sur les hypersurfaces de l'espace projectif complexe de dimension 4},
author = {Erwan Rousseau},
journal= {arXiv preprint arXiv:math/0510284},
year = {2007}
}
Comments
30 pages, in french, final version