Taming symplectic forms and the Calabi-Yau equation
classification
🧮 math.DG
math.SG
keywords
equationsymplecticcalabi-yauconjecturetamingconditioncurvaturedonaldson
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We study the Calabi-Yau equation on symplectic manifolds. We show that Donaldson's conjecture on estimates for this equation in terms of a taming symplectic form can be reduced to an integral estimate of a scalar potential function. Under a positive curvature condition, we show that the conjecture holds.
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