The partial C 0-estimate along a general continuity path and applications

Ke Feng; Liangming Shen

doi:10.1007/s11425-019-1656-2

The partial C ⁰-estimate along a general continuity path and applications

Ke Feng
, Liangming Shen^*

^*Corresponding author for this work

School of Mathematical Sciences

University of Electronic Science and Technology of China

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We establish a new partial C⁰-estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted (1, 1)-form on Fano manifolds. As an application, this estimate enables us to show the reductivity of the automorphism group of the limit space, which leads to a new proof of the Yau-Tian-Donaldson conjecture.

Original language	English
Pages (from-to)	2495-2520
Number of pages	26
Journal	Science China Mathematics
Volume	64
Issue number	11
DOIs	https://doi.org/10.1007/s11425-019-1656-2
State	Published - Nov 2021

Keywords

53C44
Kähler-Einstein metric
conic Kähler metric
partial C-estimate

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10.1007/s11425-019-1656-2

Cite this

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abstract = "We establish a new partial C0-estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted (1, 1)-form on Fano manifolds. As an application, this estimate enables us to show the reductivity of the automorphism group of the limit space, which leads to a new proof of the Yau-Tian-Donaldson conjecture.",

keywords = "53C44, K{\"a}hler-Einstein metric, conic K{\"a}hler metric, partial C-estimate",

author = "Ke Feng and Liangming Shen",

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AU - Shen, Liangming

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AB - We establish a new partial C0-estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted (1, 1)-form on Fano manifolds. As an application, this estimate enables us to show the reductivity of the automorphism group of the limit space, which leads to a new proof of the Yau-Tian-Donaldson conjecture.

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KW - Kähler-Einstein metric

KW - conic Kähler metric

KW - partial C-estimate

UR - https://www.scopus.com/pages/publications/85094911144

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M3 - 文章

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The partial C ⁰-estimate along a general continuity path and applications

Abstract

Keywords

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