Generically nef vector bundles and geometric applications

Details Generically nef vector bundles and geometric applications Generically nef vector bundles and geometric applications

2011-06-21

arxiv.org/abs/1106.4241v1

Mathematics

Algebraic Geometry

17 pages; to appear in the proceedings of the conference " Complex and differential geometry ", Hannover 2009

Scientific paper

The cotangent bundle of a non-uniruled projective manifold is generically nef, due to a theorem of Miyaoka. We show that the cotangent bundle is actually generically ample, if the manifold is of general type and study in detail the case of intermediate Kodaira dimension. Moreover, manifolds with generically nef and ample tangent bundles are investigated as well as connections to classical theorems on vector fields on projective manifolds.

Affiliated with

Also associated with

No associations

Rating

Generically nef vector bundles and geometric applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generically nef vector bundles and geometric applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generically nef vector bundles and geometric applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179045