2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108869In 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 formatSymplectic GeometryDifferential GeometryExponential sums, peak sections, and an alternative version of Donaldson's theoremstext