Exponential sums, peak sections, and an alternative version of Donaldson's theorems

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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

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