Pluripotential theory on compact Hermitian manifolds

Dinew, Sławomir

Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 25 (2016) no. 1, pp. 91-139.

Dans cet article nous collectons des résultats fondamentaux de la théorie du potentiel sur des variétés hermitiennes compactes. En particulier, nous discutons en détail la théorie de la capacité, plusieurs principes de comparaison, et la résolution de l’équation de Calabi-Yau sur les variétés hermitiennes compactes.

In this survey article we collect the basic results in pluripotential theory in the setting of compact Hermitian manifolds. In particular we discuss in detail the corresponding capacity theory, various comparison principles, and the solution of the Hermitian counterpart of the Calabi-Yau equation.

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