Some Remarks on Generic Complete Intersection Varieties
Algebraic Geometry
2010-10-18 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.1010.3143,
title = {Some Remarks on Generic Complete Intersection Varieties},
author = {Damian Brotbek},
journal= {arXiv preprint arXiv:1010.3143},
year = {2010}
}
Comments
14 pages, no figures, comments are welcome