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Pluripotential
Kähler–Ricci flows
Vincent Guedj, Chinh H Lu and Ahmed Zeriahi |
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Geometry & Topology 24 (2020) 1225–1296
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Abstract |
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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. |
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Keywords
parabolic Monge–Ampère equation, pluripotential solution,
Perron envelope, Kähler–Ricci flow
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Mathematical Subject Classification 2010
Primary: 53C44
Secondary: 32W20, 58J35
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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
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Authors |
| Vincent Guedj | |
| Institut de Mathématiques de
Toulouse Université de Toulouse, CNRS Toulouse France |
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| https://www.math.univ-toulouse.fr/~guedj/ | |
| Chinh H Lu | |
| Laboratoire de Mathématiques
d’Orsay Univ. Paris-Sud, CNRS, Université Paris-Saclay Orsay France |
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| https://www.math.u-psud.fr/~lu/ | |
| Ahmed Zeriahi | |
| Institut de Mathématiques de
Toulouse Université de Toulouse, CNRS Toulouse France |
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| https://www.math.univ-toulouse.fr/~zeriahi/ | |
