We show that for every smooth generic projective hypersurface X H Pnþ1, there exists a proper subvariety Y k X such that codimX Y f 2 and for every non constant holomorphic entire map f : C ! X one has fðCÞHY, provided degX f2n5. In particu- lar, we obtain an e¤ective confirmation of the Kobayashi conjecture for threefolds in P4.
A remark on the codimension of the Green-Griffiths locus of generic projective hypersurfaces of high degree / Diverio, Simone; Trapani, S.. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - 649:(2010), pp. 55-61. [10.1515/CRELLE.2010.088]
A remark on the codimension of the Green-Griffiths locus of generic projective hypersurfaces of high degree
DIVERIO, Simone;
2010
Abstract
We show that for every smooth generic projective hypersurface X H Pnþ1, there exists a proper subvariety Y k X such that codimX Y f 2 and for every non constant holomorphic entire map f : C ! X one has fðCÞHY, provided degX f2n5. In particu- lar, we obtain an e¤ective confirmation of the Kobayashi conjecture for threefolds in P4.File allegati a questo prodotto
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