3 citations · 4 across the 8 of their papers we have counts for
10 papers
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…
Quantizing Geodesics in Kähler and Sasaki Geometry
Gilles Courtois, Eleonora Di Nezza, Thomas Franzinetti
The space of Kähler potentials can be quantized through the classical Fubini-Study map, relating infinite-dimensional geometric structures to finite-dimensional symmetric spaces. W…
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…
Convexity of the Mabuchi functional in big cohomology classes
Eleonora Di Nezza, Stefano Trapani, Antonio Trusiani
We study the Mabuchi functional associated to a big cohomology class. We define an invariant associated to transcendental Fujita approximations, whose vanishing is related to the Y…
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…
Geodesic distance and Monge-Ampère measures on contact sets
Eleonora Di Nezza, Chinh H. Lu
We prove a geodesic distance formula for quasi-psh functions with finite entropy, extending results by Chen and Darvas. We work with big and nef cohomology classes: a key result we…