Extremal metrics on toric manifolds and homogeneous toric bundles

IF 1.2 1区数学 Q1 MATHEMATICS Journal fur die Reine und Angewandte Mathematik Pub Date : 2021-10-16 DOI:10.1515/crelle-2023-0017

An-Min Li, Zhao Lian, Li Sheng

引用次数: 2

Abstract

Abstract In this paper, we prove the Yau–Tian–Donaldson conjecture of the filtration version for toric manifolds and homogeneous toric bundles, thus for toric manifolds and homogeneous toric bundles, M admits an extremal metric in c 1 ⁢ ( L ) {c_{1}(L)} if and only if ( M , L ) {(M,L)} is relatively K ^ {\widehat{K}} -stable.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

环面流形和齐次环面束上的极值度量

摘要本文证明了环流形和齐次环束的过滤版Yau-Tian-Donaldson猜想，从而证明了对于环流形和齐次环束，M在c1¹(L) {c_{1}(L)}中存在一个极值度量，当且仅当(M,L) {(M,L)}相对于K ^{\宽{K}稳定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.

期刊最新文献

Ample line bundles and generation time A nonexistence result for rotating mean curvature flows in ℝ4 Supersingular elliptic curves over ℤ𝑝-extensions 𝐾-invariant Hilbert modules and singular vector bundles on bounded symmetric domains The relative Bogomolov conjecture for fibered products of elliptic curves