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Volume estimates for Kähler-Einstein metrics and rigidity of complex structures

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Publication:360068
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DOI10.4310/jdg/1361800865zbMath1281.32019arXiv1104.4331OpenAlexW2964246825WikidataQ115169720 ScholiaQ115169720MaRDI QIDQ360068

Xiuxiong Chen, Simon K. Donaldson

Publication date: 26 August 2013

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4331


zbMATH Keywords

Fano manifoldsKähler-Einstein manifolds


Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)


Related Items (8)

Coupled equations for Kähler metrics and Yang-Mills connections ⋮ The Mabuchi geometry of finite energy classes ⋮ Regularity of Einstein manifolds and the codimension 4 conjecture ⋮ Lower bounds on Ricci curvature and quantitative behavior of singular sets ⋮ Space of Ricci flows. II. Part B: Weak compactness of the flows ⋮ On the spaces with Ricci curvature bounds ⋮ Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface ⋮ Weak solutions to degenerate complex Monge-Ampère flows. II




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