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Taming symplectic forms and the Calabi-Yau equation |
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| Authors: | Tosatti Valentino; Weinkove Ben; Yau Shing-Tung |
| Institution: | Mathematics Department Harvard University 1 Oxford Street Cambridge, MA 02138 USA weinkove@math.harvard.edu yau@math.harvard.edu |
| Abstract: | We study the Calabi–Yau equation on symplectic manifolds.We show that Donaldson's conjecture on estimates for this equationin terms of a taming symplectic form can be reduced to an integralestimate of a scalar potential function. Under a positive curvaturecondition, we show that the conjecture holds. |
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