Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds

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dc.creatorPacienza, Gianluca
dc.creatorRousseau, Erwan
dc.date2008-10-27
dc.date.accessioned2026-07-07T10:13:29Z
dc.date.available2026-07-07T10:13:29Z
dc.descriptionMotivated by the Green-Griffiths conjecture, we study maximal rank holomorphic maps from $\C^p$ into complex manifolds. When $p>1$ such maps should in principle be more tractable than entire curves. We extend to this setting the jet-bundles techniques introduced by Semple, Green-Griffiths and Demailly. Our main application is the non-existence of maximal rank holomorphic maps from $\C^2$ into the very general degree $d$ hypersurface in $\bP^4$, as soon as $d\geq 93.$
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0810.4911
dc.identifierhttp://arxiv.org/abs/0810.4911
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172545
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14J70; 32Q45
dc.titleGeneralized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds
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