复空间的非阿基米德理论与cscK问题

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-09-18 DOI:10.1016/j.aim.2025.110543

Pietro Mesquita-Piccione

引用次数: 0

摘要

在本文中，我们发展了一个非必然代数复空间的Berkovich分析的类比。我们将Chi Li，[42]的结果推广到任意紧形Kähler流形，证明了k -稳定性的一个更强的版本暗示了唯一常数标量曲率Kähler度规的存在。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A non-Archimedean theory of complex spaces and the cscK problem

In this paper we develop an analogue of the Berkovich analytification for non-necessarily algebraic complex spaces. We apply this theory to generalize to arbitrary compact Kähler manifolds a result of Chi Li, [42], proving that a stronger version of K-stability implies the existence of a unique constant scalar curvature Kähler metric.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.