Some Remarks on Generic Complete Intersection Varieties

Details Some Remarks on Generic Complete Intersection Varieties Some Remarks on Generic Complete Intersection Varieties

2010-10-15

arxiv.org/abs/1010.3143v1

Mathematics

Algebraic Geometry

14 pages, no figures, comments are welcome

Scientific paper

We prove an existence theorem for jet differentials on complete intersection
varieties that generalizes a theorem of S. Diverio. We also show that one can
readily deduce hyperbolicity for generic complete intersections of high
multidegree from earlier work of Diverio-Merker-Rousseau and Diverio-Trapani.
And finally we prove the numerical aspect of a conjecture of O. Debarre.

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