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

共 50 条

[1] ON GENERALIZED GAUDUCHON METRICS
Fino, Anna
Ugarte, Luis
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2013, 56 (03) : 733 - 753
[2] Gauduchon metrics with prescribed volume form
Szekelyhidi, Gabor
Tosatti, Valentino
Weinkove, Ben
ACTA MATHEMATICA, 2017, 219 (01) : 181 - 211
[3] Semilinear equations, the γk function, and generalized Gauduchon metrics
Fu, Jixiang
Wang, Zhizhang
Wu, Damin
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2013, 15 (02) : 659 - 680
[4] A Parabolic Monge-Ampere Type Equation of Gauduchon Metrics
Zheng, Tao
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019, 2019 (17) : 5497 - 5538
[5] SCALAR CURVATURE AND SINGULAR METRICS
Shi, Yuguang
Tam, Luen-Fai
PACIFIC JOURNAL OF MATHEMATICS, 2018, 293 (02) : 427 - 470
[6] Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics
Popovici, Dan
INVENTIONES MATHEMATICAE, 2013, 194 (03) : 515 - 534
[7] Balanced Metrics and Gauduchon Cone of Locally Conformally Kähler Manifolds
Ornea, Liviu
Verbitsky, Misha
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2025, 2025 (03)
[8] On blow-ups and resolutions of Hermitian-symplectic and strongly Gauduchon metrics
Yang, Song
ARCHIV DER MATHEMATIK, 2015, 104 (05) : 441 - 450
[9] On generalized Gauduchon nilmanifolds
Latorre, A.
Ugarte, L.
Villacampa, R.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 54 : 150 - 164
[10] Singular Yamabe Metrics by Equivariant Reduction
Hyder, Ali
Pistoia, Angela
Sire, Yannick
JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (12) : 12525 - 12547

← 1 2 3 4 5 →