ON THE STABILITY OF PSEUDOCONVEXITY FOR CERTAIN COVERING-SPACES

Authors
OHSAWA T
Citation
T. Ohsawa, ON THE STABILITY OF PSEUDOCONVEXITY FOR CERTAIN COVERING-SPACES, Nagoya Mathematical Journal, 147, 1997, pp. 107-112
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Nagoya Mathematical Journal → ACNP
ISSN journal
00277630
Volume
147
Year of publication
1997
Pages
107 - 112
Database
ISI
SICI code
0027-7630(1997)147:<107:OTSOPF>2.0.ZU;2-#
Abstract
It is proved that, if X (pi) under right arrow T is a proper holomorph ic map with one-dimensional fibers and (X) over tilde (pi) under right arrow X a covering map, a point t is an element of T has a neighbourh ood U such that pi(-1)(pi(-1)(U)) is holomorphically convex if and onl y if pi(-1)(pi(-1)(t)) is holomorphically convex.