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Kähler-Ricci flow on stable Fano manifolds
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Valentino Tosatti
Published/Copyright:
January 20, 2010
Abstract
We study the Kähler-Ricci flow on Fano manifolds. We show that if the curvature is bounded along the flow and if the manifold is K-polystable and asymptotically Chow semistable, then the flow converges exponentially fast to a Kähler-Einstein metric.
Received: 2008-10-28
Published Online: 2010-01-20
Published in Print: 2010-March
© Walter de Gruyter Berlin · New York 2010
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Articles in the same Issue
- On the torsion of Drinfeld modules of rank two
- Endpoint maximal and smoothing estimates for Schrödinger equations
- Kähler-Ricci flow on stable Fano manifolds
- Area-minimizing vector fields on round 2-spheres
- Koppelman formulas on Grassmannians
- A quotient restriction theorem for actions of real reductive groups
- Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
- On the bounded cohomology of semi-simple groups, S-arithmetic groups and products
- Über Pro-p-Fundamentalgruppen markierter arithmetischer Kurven
