Exponential sums, peak sections, and an alternative version of Donaldson's theorems
arXiv:math/0602118
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.
28 pages. 2 figures. Figures look better in ps format