Exponential sums, peak sections, and an alternative version of Donaldson's theorems
Symplectic Geometry
2007-05-23 v1 Differential Geometry
Abstract
In this paper, we provide an alternative proof of Donaldson's almost-holomorphic section theorem and symplectic Lefschetz pencil theorem, through constructions of certain special kind of Donaldson-type sections of the line bundle based on properties of exponential sums.
Cite
@article{arxiv.math/0602118,
title = {Exponential sums, peak sections, and an alternative version of Donaldson's theorems},
author = {Wei-Dong Ruan},
journal= {arXiv preprint arXiv:math/0602118},
year = {2007}
}
Comments
28 pages. 2 figures. Figures look better in ps format