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In the setting of Donaldson’s conjecture on the Calabi-Yau equation on symplectic 4-manifolds, we prove an a priori estimate which in the Kähler case resembles a classical estimate of Cheng-Yau.

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A Cheng-Yau Type Estimate for the Symplectic Calabi-Yau Equation

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  • 发表日期：

    2025年

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  • Valentino Tosatti

摘要

In the setting of Donaldson’s conjecture on the Calabi-Yau equation on symplectic 4-manifolds, we prove an a priori estimate which in the Kähler case resembles a classical estimate of Cheng-Yau.