On the Hausdorff property of some Dolbeault cohomology groups

被引：19

作者：

Laurent-Thiebaut, Christine ^{[1
,2
]}

Shaw, Mei-Chi ^{[3
]}

机构：

[1] UJF Grenoble 1, Inst Fourier, F-38041 Grenoble, France

[2] Inst Fournier, CNRS UMR 5582, F-38402 St Martin Dheres, France

[3] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2013年 / 274卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

Separation; Dolbeault cohomology; Duality; SERRE DUALITY; REGULARITY; MANIFOLDS; OPERATOR;

D O I：

10.1007/s00209-012-1111-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：1165 / 1176

页数：12

共 50 条

[41] Dolbeault cohomology of compact complex homogeneous manifolds
Ramani V.
Sankaran P.
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 1999, 109 (1): : 11 - 21
[42] Group actions on the Dolbeault cohomology of homogeneous manifolds
Dmitri Akhiezer
Mathematische Zeitschrift, 1997, 226 : 607 - 621
[43] A separation theorem and Serre duality for the Dolbeault cohomology
Laurent-Thiébaut, C
Leiterer, J
ARKIV FOR MATEMATIK, 2002, 40 (02): : 301 - 321
[44] On the Sobolev Dolbeault cohomology of a domain with pseudoconcave boundaries
Jian Chen
Acta Mathematica Scientia, 2024, 44 : 431 - 444
[45] REMARKS ON THE L2-DOLBEAULT COHOMOLOGY GROUPS OF SINGULAR ALGEBRAIC-SURFACES AND CURVES
NAGASE, M
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1990, 26 (05) : 867 - 883
[46] TWISTED DOLBEAULT COHOMOLOGY OF NILPOTENT LIE ALGEBRAS
Ornea, Liviu
Verbitsky, Misha
TRANSFORMATION GROUPS, 2022, 27 (01) : 225 - 238
[47] Dolbeault cohomology for G2-manifolds
Fernandez, M
Ugarte, L
GEOMETRIAE DEDICATA, 1998, 70 (01) : 57 - 86
[48] Sato hyperfunctions via relative Dolbeault cohomology
Honda, Naofumi
Izawa, Takeshi
SuwA, Tatsuo
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2023, 75 (01) : 229 - 290
[49] TWISTED DOLBEAULT COHOMOLOGY OF NILPOTENT LIE ALGEBRAS
LIVIU ORNEA
MISHA VERBITSKY
Transformation Groups, 2022, 27 : 225 - 238
[50] ON THE SOBOLEV DOLBEAULT COHOMOLOGY OF A DOMAIN WITH PSEUDOCONCAVE BOUNDARIES
Chen, Jian
ACTA MATHEMATICA SCIENTIA, 2024, 44 (02) : 431 - 444

← 1 2 3 4 5 →