Taming symplectic forms and the Calabi–Yau equation

Taming symplectic forms and the Calabi–Yau equation
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DOI:
10.1112/plms/pdn008
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发表时间:
2007-03
影响因子:
1.8
通讯作者:
Valentino Tosatti;B. Weinkove;S. Yau
Valentino Tosatti;B. Weinkove;S. Yau
中科院分区:
数学1区
文献类型:
--
作者:
Valentino Tosatti;B. Weinkove;S. Yau

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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.