Continuity of Monge-Ampère Potentials with Prescribed Singularities

Continuity of Monge-Ampère Potentials with Prescribed Singularities

We study the continuity of solutions to complex Monge-Ampere equations with prescribed singularities. This generalizes the previous results of DiNezza-Lu and the author. As an application, we can run the Monge-Ampere flow starting at a current with prescribed singularities.

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Veröffentlicht in:arXiv.org 2023-07
1. Verfasser: Quang-Tuan Dang
Format: Artikel
Sprache:eng
Schlagworte:
Continuity
Singularity (mathematics)
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Zusammenfassung:We study the continuity of solutions to complex Monge-Ampere equations with prescribed singularities. This generalizes the previous results of DiNezza-Lu and the author. As an application, we can run the Monge-Ampere flow starting at a current with prescribed singularities.
ISSN:2331-8422