Higher direct images of Lagrangian fibrations

Details Higher direct images of Lagrangian fibrations Higher direct images of Lagrangian fibrations

2000-10-29

arxiv.org/abs/math/0010283v1

Mathematics

Algebraic Geometry

26 pages

Scientific paper

We prove that the higher direct images of the dualizing sheaf of a Lagrangian fibration between smooth projective manifolds are isomorphic to the cotangent bundles of base space. As a corollary, we obtain that every Hodge number of the base space of a fibre space of an irreducible symplectic manifold is the same to that of a projective space if the base space is smooth.

Affiliated with

Also associated with

No associations

Rating

Higher direct images of Lagrangian fibrations 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 Higher direct images of Lagrangian fibrations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher direct images of Lagrangian fibrations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6755