Taming symplectic forms and the Calabi-Yau equation

Abstract

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.

32 pages

References in corpus (2)

• The Space of Kähler metrics (II)
• Multiplier Ideal Sheaves and the Kähler-Ricci Flow

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