The Kähler–Ricci flow through singularities
By Jian Song, G. Tian. Inventiones Mathematicae, 2009
186 citations recorded by the source corpus.
We prove the existence and uniqueness of the weak Kähler–Ricci flow on projective varieties with log terminal singularities. We also show that the weak Kähler–Ricci flow can be uniquely continued through divisorial contractions and flips if they exist. Finally we propose an analytic version of the minimal model program with Ricci flow.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/328a3fb385e751bde77564b75a740e9c6d06f245
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In Applied Mathematics
- Robert J. Berman
- David Witt Nyström
- Chi Li
- S. Boucksom
- Mattias Jonsson
- Song Sun
- Tam'as Darvas
- Yanir A. Rubinstein
In Geometry and Topology
- Robert J. Berman
- David Witt Nyström
- Chi Li
- S. Boucksom
- Mattias Jonsson
- Song Sun
- Tam'as Darvas
- Yanir A. Rubinstein
Citations in the corpus
- Complex optimal transport and the pluripotential theory of K\"ahler-Ricci solitons (2014, methodology): “In the singular case one demands that the metric φt(x) be smooth on ]0,∞[×Xreg and continuous on X ; the existence and uniqueness of such a flow was established in [42] (see also the exposition in [17]).”