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Kähler-Einstein met...
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
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- Berman, Robert, 1976 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Boucksom, Sebastien (author)
- École polytechnique
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- Eyssidieux, Philippe (author)
- Institut Universitaire de France
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- Guedj, Viincent (author)
- Institut Universitaire de France
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- Zeriahi, Ahmed (author)
- Universite Paul Sabatier Toulouse III,Paul Sabatier University
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(creator_code:org_t)
- 2016-09-14
- 2019
- English.
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In: Journal für die Reine und Angewandte Mathematik. - : Walter de Gruyter GmbH. - 1435-5345 .- 0075-4102. ; 2019:751, s. 27-89
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Abstract
Subject headings
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- We prove the existence and uniqueness of Kähler-Einstein metrics on Q-Fano varieties with log terminal singularities (and more generally on log Fano pairs) whose Mabuchi functional is proper. We study analogues of the works of Perelman on the convergence of the normalized Kähler-Ricci flow, and of Keller, Rubinstein on its discrete version, Ricci iteration. In the special case of (non-singular) Fano manifolds, our results on Ricci iteration yield smooth convergence without any additional condition, improving on previous results. Our result for the Kähler-Ricci flow provides weak convergence independently of Perelman's celebrated estimates.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Publication and Content Type
- art (subject category)
- ref (subject category)
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