Interior estimates for solutions of Abreu's equation

• Autores: S.K. Donaldson
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 56, Fasc. 2, 2005, págs. 103-142
• Idioma: inglés
• Enlaces
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• Resumen

  • This paper develops various estimates for solutions of a nonlinear, fourth order PDE which corresponds to prescribing the scalar curvature of a toric K¿ahler metric. The results combine techniques from Riemannian geometry and from the theory of MongeAmp` ere equations.

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