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

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dc.creatorRousseau, Erwan
dc.date2005-10-13
dc.date2006-10-23
dc.date.accessioned2026-07-07T06:47:28Z
dc.date.available2026-07-07T06:47:28Z
dc.descriptionThe 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.
dc.description30 pages, in french, final version
dc.identifierhttps://arxiv.org/abs/math/0510284
dc.identifierhttp://arxiv.org/abs/math/0510284
dc.identifierJ. Math. Pures Appl., 86, 2006, 322-341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103660
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14F99; 32Q45
dc.titleEquations differentielles sur les hypersurfaces de l'espace projectif complexe de dimension 4
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