Singular Gauduchon metrics

被引：2

作者：

Pan, Chung-Ming ^{[1
]}

机构：

[1] Univ Toulouse, CNRS, UPS, Inst Math Toulouse,UMR 5219, 118 Route Narbonne, F-31062 Toulouse 9, France

来源：

COMPOSITIO MATHEMATICA | 2022年 / 158卷 / 06期

关键词：

Gauduchon metrics; complex spaces; smoothable singularities; EXTENSION; MANIFOLDS; EXISTENCE; CURRENTS;

D O I：

10.1112/S0010437X22007618

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1977, Gauduchon proved that on every compact hermitian manifold (X, omega) there exists a conformally equivalent hermitian metric omega(G) which satisfies dd(c)omega(n-1)(G) = 0. In this note, we extend this result to irreducible compact singular hermitian varieties which admit a smoothing.

引用

页码：1314 / 1328

页数：16

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