Nondeformability of entire curves in projective hypersurfaces of high degree

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dc.creatorDebarre, Olivier
dc.creatorPacienza, Gianluca
dc.creatorPaun, Mihai
dc.date2005-10-18
dc.date.accessioned2026-07-07T06:47:36Z
dc.date.available2026-07-07T06:47:36Z
dc.descriptionIn this article, we prove that there does not exist a family of entire curves in the universal family of hypersurfaces of degree $d\geq 2n$ in the complex projective space ${\mathbb P}^n$. This can be seen as a weak version of the Kobayashi conjecture asserting that a general projective hypersurface of high degree is hyperbolic in the sense of Kobayashi.
dc.descriptionto appear in the "Annales de l'Institut Fourier"
dc.identifierhttps://arxiv.org/abs/math/0510376
dc.identifierhttp://arxiv.org/abs/math/0510376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103708
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14J70; 32Q45
dc.titleNondeformability of entire curves in projective hypersurfaces of high degree
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