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.
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页码：1314 / 1328
页数：16
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