|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Pluripotential
Kähler–Ricci flows
Vincent Guedj, Chinh H Lu and Ahmed Zeriahi |
|
Geometry & Topology 24 (2020) 1225–1296
|
Abstract |
|
We develop a parabolic pluripotential theory on compact Kähler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge–Ampère equations. We provide a parabolic analogue of the celebrated Bedford–Taylor theory and apply it to the study of the Kähler–Ricci flow on varieties with log terminal singularities. |
Keywords
parabolic Monge–Ampère equation, pluripotential solution,
Perron envelope, Kähler–Ricci flow
|
Mathematical Subject Classification 2010
Primary: 53C44
Secondary: 32W20, 58J35
|
References |
Publication
Received: 7 November 2018
Revised: 12 August 2019
Accepted: 23 September 2019
Published: 30 September 2020
Proposed: Simon Donaldson
Seconded: John Lott, Bruce Kleiner
|
Authors |
| Vincent Guedj | |
| Institut de Mathématiques de
Toulouse Université de Toulouse, CNRS Toulouse France |
|
| https://www.math.univ-toulouse.fr/~guedj/ | |
| Chinh H Lu | |
| Laboratoire de Mathématiques
d’Orsay Univ. Paris-Sud, CNRS, Université Paris-Saclay Orsay France |
|
| https://www.math.u-psud.fr/~lu/ | |
| Ahmed Zeriahi | |
| Institut de Mathématiques de
Toulouse Université de Toulouse, CNRS Toulouse France |
|
| https://www.math.univ-toulouse.fr/~zeriahi/ | |
