3 citations · 4 across the 8 of their papers we have counts for
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Regularity of rooftop envelopes
Eleonora Di Nezza, Alexander Rashkovskii
We study continuity, Hölder regularity, and -regularity of geodesics between continuous plurisubharmonic functions on bounded domains of . We then derive reg…
Singular Calabi-Yau metrics
Eleonora Di Nezza, Chinh H. Lu
These are notes of lectures given by the first named author during the CIME Summer school Calabi-Yau varieties. We survey known results concerning the complex Monge-Ampère equation…
Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting
Eleonora Di Nezza, Stefano Trapani, Antonio Trusiani
In this note, we generalize the notion of entropy for potentials in a relative full Monge-Ampère mass , for a model potential . We then investigate stabili…
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…
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}…
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…