2010/10/15 by Damian Brotbek, Brotbek, Damian
Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV
paper · pdf · doi:10.48550/arxiv.1010.3143
14 pages, no figures, comments are welcome
arxiv created 2010/10/15 · arxiv updated 2010/10/18
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.