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math.CV2020
Finite entropy vs finite energy
Eleonora Di Nezza, Vincent Guedj, Chinh H. Lu
Probability measures with either finite Monge-Ampère energy or finite entropy have played a central role in recent developments in Kähler geometry. In this note we make a systemati…
math.CV2019★ 1 cited
Monge-Ampère measures on contact sets
Eleonora Di Nezza, Stefano Trapani
Let be a compact Kähler manifold of complex dimension n and be a smooth closed real -form on such that its cohomology class $\{ θ\}\in H^{1,1}(X, \mathbb{R}…
math.CV2017
Regularity of push-forward of Monge-Amp{è}re measures
Eleonora Di Nezza, Charles Favre
We prove that the image under any dominant meromorphic map of the Monge-Amp{è}re measure of a H{ö}lder continuous quasi-psh function still possesses a H{ö}lder potential. We also d…