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Interior estimates for solutions of Abreu's equation.

Simon K. Donaldson — 2005

Collectanea Mathematica

This paper develops various estimates for solutions of a nonlinear, fouth order PDE which corresponds to prescribing the scalar curvature of a toric Kähler metric. The results combine techniques from Riemannian geometry and from the theory of Monge-Ampère equations.

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