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

Wei-Dong Ruan
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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.

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Wei-Dong Ruan. 2006-02-07. Exponential sums, peak sections, and an alternative version of Donaldson's theorems. https://arxiv.org/abs/math/0602118

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