Kähler–Ricci孤子退化的存在性

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2021-03-29 DOI:10.1017/fmp.2023.5

Harold Blum, Yuchen Liu, Chenyang Xu, Ziquan Zhuang

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引用次数: 17

摘要

摘要我们证明了所有对数Fano对的Hamilton–Tian猜想的代数版本。更准确地说，我们证明了任何log Fano对都允许正则的两步退化为降维一致Ding稳定的三重，当地场时，它允许Kähler–Ricci孤立子。

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The existence of the Kähler–Ricci soliton degeneration

Abstract We prove an algebraic version of the Hamilton–Tian conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler–Ricci soliton when the ground field .

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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