Document Type
Article
Publication Date
1-1-1977
Abstract
Two well known results concerning normal complex spaces are the following. First, the singular set of a normal complex space has codimension at least two. Second, this property characterizes normality for complex spaces which are local complete intersections. This second result is a theorem of Abhyankar [1] which generalizes Oka’s theorem. The purpose of this paper is to prove analogues of these facts for the class of weakly normal complex spaces, which were introduced by Andreotti-Norguet [3] in a study of the space of cycles on an algebraic variety. A weakly normal complex space can have singularities in codimension one, but it will be shown that an obvious class of such singularities is generic. © 1977 Pacific Journal of Mathematics. All rights reserved.
Publication Source (Journal or Book title)
Pacific Journal of Mathematics
First Page
297
Last Page
301
Recommended Citation
Adkins, W., Andreotti, A., & Leahy, J. (1977). An analogue of oka’s theorem for weakly normal complex spaces. Pacific Journal of Mathematics, 68 (2), 297-301. https://doi.org/10.2140/pjm.1977.68.297
