INVARIANCE OF COHOMOLOGICAL Q-COMPLETENESS UNDER FINITE HOLOMORPHIC SUBJECTIONS

被引：9

作者：

VAJAITU, V ^{[1
]}

机构：

[1] BUGH WUPPERTAL,FACHBEREICH MATH 7,D-42097 WUPPERTAL,GERMANY

来源：

MANUSCRIPTA MATHEMATICA | 1994年 / 82卷 / 02期

关键词：

D O I：

10.1007/BF02567691

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that cohomological q-completeness (cohomological q-convexity) is invariant under finite surjective holomorphic mappings. A related result in the non-proper case is also proved.

引用

页码：113 / 124

页数：12

共 33 条

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BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 1998, 5 (05) : 713 - 718
[2] Cohomological q-convexity versus local q-completeness with corners
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Results in Mathematics, 1998, 33 (1-2) : 161 - 168
[3] ON THE INVARIANCE OF Q-CONVEXITY AND HYPERCONVEXITY UNDER FINITE HOLOMORPHIC SURJECTIONS
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[8] LOCAL Q-COMPLETENESS OF COMPLEMENTS OF SMOOTH CR-SUBMANIFOLDS
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[9] On the cohomological completeness of q-complete domains with corners
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[10] q-Completeness of unbranched Riemann domains over complex spaces with isolated singularities
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