Article Dans Une Revue Pure and Applied Mathematics Quarterly Année : 2023

Relative pluripotential theory on compact K\"ahler manifolds

Résumé

Given a compact K\"ahler manifold, we survey the study of complex Monge-Amp\`ere type equations with prescribed singularity type, developed by the authors in a series of papers. In addition, we give a general answer to a question of Guedj--Zeriahi about the finite energy range of the complex Monge-Amp\`ere operator.

Dates et versions

hal-04040296 , version 1 (22-03-2023)

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Citer

Tamás Darvas, Eleonora Di Nezza, Chinh Lu. Relative pluripotential theory on compact K\"ahler manifolds. Pure and Applied Mathematics Quarterly, 2023, 21 (3), pp.1037-1118. ⟨10.4310/PAMQ.250116004957⟩. ⟨hal-04040296⟩
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