Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• Hauptverfasser: Di Nezza, Eleonora, Trapani, Stefano, Trusiani, Antonio
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212156
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting. Eleonora Di Nezza, Stefano Trapani and Antonio Trusiani. SIGMA 20 (2024), 039, 19 pages

In this note, we generalize the notion of entropy for potentials in a relatively full Monge-Ampère mass ℰ(, , ), for a model potential . We then investigate stability properties of this condition with respect to blow-ups and perturbation of the cohomology class. We also prove a Moser-Trudinger type...