Bergman kernels and local holomorphic Morse inequalities

Details Bergman kernels and local holomorphic Morse inequalities Bergman kernels and local holomorphic Morse inequalities

2002-11-15

arxiv.org/abs/math/0211235v1

Mathematics

Complex Variables

19 pages. An extended version at http://www.math.chalmers.se/Math/Research/Preprints/

Scientific paper

Let X be a hermitian manifold and let L^k be a high power of a hermitian line bundle over X. Local versions of Demailly's holomorphic Morse inequalities are presented - after integration they yield the usual inequalities. The local weak inequalities hold on any hermitian manifold X, regardless of compactness and completeness. The proofs, which are elementary, are based on a new approach to pointwise Bergman kernel estimates, where the kernels are estimated by a model kernel in the standard complex space C^n.

Affiliated with

Also associated with

No associations

Rating

Bergman kernels and local holomorphic Morse inequalities 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 Bergman kernels and local holomorphic Morse inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bergman kernels and local holomorphic Morse inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-630100