Taming symplectic forms and the Calabi-Yau equation

Details Taming symplectic forms and the Calabi-Yau equation Taming symplectic forms and the Calabi-Yau equation

2007-03-26

arxiv.org/abs/math/0703773v1

Proc. London Math. Soc. 97 (2008), no.2, 401-424.

Mathematics

Differential Geometry

32 pages

Scientific paper

10.1112/plms/pdn008

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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