Taming symplectic forms and the Calabi-Yau equation
arXiv:math/0703773 · doi:10.1112/plms/pdn008
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