Exponential Estimate for the asymptotics of Bergman kernels
Differential Geometry
2015-09-09 v1 Complex Variables
Symplectic Geometry
Abstract
We prove an exponential estimate for the asymptotics of Bergman kernels of a positive line bundle under hypotheses of bounded geometry. We give further Bergman kernel proofs of complex geometry results, such as separation of points, existence of local coordinates and holomorphic convexity by sections of positive line bundles.
Keywords
Cite
@article{arxiv.1310.3776,
title = {Exponential Estimate for the asymptotics of Bergman kernels},
author = {Xiaonan Ma and George Marinescu},
journal= {arXiv preprint arXiv:1310.3776},
year = {2015}
}
Comments
correct version, 15 pages