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3. [2006.07061] Finite entropy vs finite energy - arXiv
12 jun 2020 · Finite entropy vs finite energy. Authors: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 systematic study of quasi-plurisubharmonic potentials whose Monge-Ampère measures have finite entropy. We show that these potentials belong to the finite energy class ${\mathcal E}^{\frac{n}{n-1}}$, where $n$ denotes the complex dimension, and provide examples showing that this critical exponent is sharp. Our proof relies on refined Moser-Trudinger inequalities for quasi-plurisubharmonic functions.
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5. [2003.08178] Families of singular Kähler-Einstein metrics - arXiv
18 mrt 2020 · Families of singular Kähler-Einstein metrics. Authors:Eleonora Di Nezza, Vincent Guedj, Henri Guenancia.
See AlsoNorthern Chateau Trail CamRefining Yau's and Kolodziej's techniques, we establish very precise uniform a priori estimates for degenerate complex Monge-Ampère equations on compact Kähler manifolds, that allow us to control the blow up of the solutions as the cohom*ology class and the complex structure both vary. We apply these estimates to the study of various families of possibly singular Kähler varieties endowed with twisted Kähler-Einstein metrics, by analyzing the behavior of canonical densities, establishing uniform integrability properties, and developing the first steps of a pluripotential theory in families. This provides interesting information on the moduli space of stable varieties, extending works by Berman-Guenancia and Song, as well as on the behavior of singular Ricci flat metrics on (log) Calabi-Yau varieties, generalizing works by Rong-Ruan-Zhang, Gross-Tosatti-Zhang, Collins-Tosatti and Tosatti-Weinkove-Yang.
6. CNRS bronze medal for Eleonora Di Nezza - École Polytechnique
15 okt 2021 · ... Vincent Guedj, one of the specialists in this field, which is currently very popular in mathematics. One of the aims of Eleonora Di Nezza's ...
© Laurent Ardhuin pour le CNRS
7. Eleonora Di Nezza - The Mathematics Genealogy Project
Eleonora Di Nezza. MathSciNet. Ph.D. Università degli Studi di Roma Tor Vergata and ... Advisor 2: Vincent Guedj. No students known. If you have additional ...
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8. Name Directory - Di Nezza, A to P in Canada | Canada411 People Finder
People named Di Nezza. Choose a name. A Di Maria · Brandon Di Maria · C Di Maria ... Vince Di Matteo · Vittorio Di Matteo · W Di Matteo · Anna Di Mattia · G Di ...
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9. Eleonora Di Nezza (Imperial): The space of Kähler metrics on singular ...
This is based on a joint work with Vincent Guedj. Add event to calendar. Event speakers: Dr Eleonora Di Nezza. For further details: Contact: Paolo Cascini · See ...
Geometry and Topology seminar