On the Diverio-Trapani conjecture. (English) Zbl 1447.32042
Summary: In this paper we establish effective lower bounds on the degrees of the Debarre and Kobayashi conjectures. Then we study a more general conjecture proposed by Diverio-Trapani on the ampleness of jet bundles of general complete intersections in complex projective spaces.
MSC:
32Q45 | Hyperbolic and Kobayashi hyperbolic manifolds |
14M10 | Complete intersections |
14M15 | Grassmannians, Schubert varieties, flag manifolds |
14C20 | Divisors, linear systems, invertible sheaves |