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.
Original language | English (US) |
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Pages (from-to) | 401-424 |
Number of pages | 24 |
Journal | Proceedings of the London Mathematical Society |
Volume | 97 |
Issue number | 2 |
DOIs | |
State | Published - Sep 2008 |
Funding
The first author is supported in part by a Jean de Valpine Fellowship, the second author is supported in part by NSF grant DMS 0504285 and the third author is supported in part by NSF grant DMS 0306600.
ASJC Scopus subject areas
- General Mathematics