Weak limits of the J-flow and the deformed Hermitian-Yang-Mills flow on Kähler surfaces: boundary cases

IF 0.8 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2026-03-12 DOI:10.1007/s10455-026-10032-9

Rei Murakami

引用次数: 0

Abstract

We prove that if a pair of Kähler classes is J-nef, the J-flow on a compact Kähler surface converges to a weak solution of the Monge-Ampère equation in the sense of currents. We also establish the same convergence behavior for the deformed Hermitian-Yang-Mills flow. The method is based on a property of a limit of viscosity subsolutions.

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Kähler表面上j流和变形Hermitian-Yang-Mills流的弱极限：边界情况

证明了如果一对Kähler类是J-nef，则紧致Kähler曲面上的j -流收敛于电流意义下的monge - amp方程的弱解。我们还建立了变形Hermitian-Yang-Mills流的相同收敛行为。该方法是基于粘度子解极限的一个性质。

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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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.