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
收藏
页码：1314 / 1328
页数：16
相关论文
共 50 条
  • [31] Fermat Metrics
    Masiello, Antonio
    SYMMETRY-BASEL, 2021, 13 (08):
  • [32] Blow-ups and resolutions of strong Kahler with torsion metrics
    Fino, Anna
    Tomassini, Adriano
    ADVANCES IN MATHEMATICS, 2009, 221 (03) : 914 - 935
  • [33] On the Asymptotic Behavior of Complete Kahler Metrics of Positive Ricci Curvature
    Anchouche, Boudjemaa
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2010, 62 (01): : 3 - 18
  • [34] Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds
    Shen, Zhenghan
    BULLETIN DES SCIENCES MATHEMATIQUES, 2023, 187
  • [35] PLURISIGNED HERMITIAN METRICS
    Angella, Daniele
    Guedj, Vincent
    Lu, Chinh H.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (07) : 4631 - 4659
  • [36] Uniqueness of Einstein metrics conformal to extremal Kahler metrics - a computer assisted approach
    Maschler, Gideon
    SPECIAL METRICS AND SUPERSYMMETRY, 2009, 1093 : 132 - 143
  • [37] CANONICAL METRICS ON HARTOGS DOMAINS
    Loi, Andrea
    Zuddas, Fabio
    OSAKA JOURNAL OF MATHEMATICS, 2010, 47 (02) : 507 - 521
  • [38] Strominger connection and pluriclosed metrics
    Zhao, Quanting
    Zheng, Fangyang
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023, 2023 (796): : 245 - 267
  • [39] Homogeneous Einstein metrics and butterflies
    Boehm, Christoph
    Kerr, Megan M.
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2023, 63 (04)
  • [40] ON ONE-DIMENSIONAL AND SINGULAR CALABI'S EXTREMAL METRICS WHOSE GAUSS CURVATURES HAVE NONZERO UMBILICAL HESSIANS
    Chen, Qing
    Wu, Yingyi
    Xu, Bin
    ISRAEL JOURNAL OF MATHEMATICS, 2015, 208 (01) : 385 - 412
12345