A parametric Hartogs extension

被引:0
|
作者
Vijiitu, Viorel [1 ]
机构
[1] Univ Lille, Lab P Painleve, F-59655 Villeneuve Dascq, France
关键词
Hartogs extension; Stein manifold; fiber bundle;
D O I
10.4064/ap230910-24-11
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A parametric version of Hartogs' standard extension theorem is given for domains in locally trivial holomorphic fibrations over Stein manifolds.
引用
收藏
页码:187 / 196
页数:10
相关论文
共 50 条
  • [21] Extension Operators Preserving Biholomorphic Mappings on Hartogs Domains
    Yanyan Cui
    Heju Yang
    Yuying Qiao
    Chinese Annals of Mathematics, Series B, 2023, 44 : 307 - 324
  • [22] The Hartogs extension problem for holomorphic parabolic and reductive geometries
    McKay, Benjamin
    MONATSHEFTE FUR MATHEMATIK, 2016, 181 (03): : 689 - 713
  • [23] The Hartogs extension phenomenon in almost homogeneous algebraic varieties
    Feklistov, S. V.
    SBORNIK MATHEMATICS, 2022, 213 (12) : 1715 - 1739
  • [24] The Hartogs extension theorem for holomorphic vector bundles and sprays
    Andrist, Rafael B.
    Shcherbina, Nikolay
    Wold, Erlend F.
    ARKIV FOR MATEMATIK, 2016, 54 (02): : 299 - 319
  • [25] Biholomorphic Mappings and the Extension Operators on New Hartogs Domains
    Cui, Yan Yan
    Wang, Chao Jun
    Liu, Hao
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (05) : 671 - 689
  • [26] Biholomorphic Mappings and the Extension Operators on New Hartogs Domains
    Yan Yan Cui
    Chao Jun Wang
    Hao Liu
    Acta Mathematica Sinica, English Series, 2019, 35 : 671 - 689
  • [27] Extension Operators Preserving Biholomorphic Mappings on Hartogs Domains
    Cui, Yanyan
    Yang, Heju
    Qiao, Yuying
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2023, 44 (02) : 307 - 324
  • [28] Extension Operators Preserving Biholomorphic Mappings on Hartogs Domains
    Yanyan CUI
    Heju YANG
    Yuying QIAO
    Chinese Annals of Mathematics,Series B, 2023, (02) : 307 - 324
  • [29] A Counterexample to Hartogs’ Type Extension of Holomorphic Line Bundles
    Zhangchi Chen
    The Journal of Geometric Analysis, 2018, 28 : 2624 - 2643
  • [30] The Hartogs extension problem for holomorphic parabolic and reductive geometries
    Benjamin McKay
    Monatshefte für Mathematik, 2016, 181 : 689 - 713