GEOMETRICAL CHARACTERIZATION OF ALGEBRAIC-VARIETIES OF C2

Authors
AUPETIT B
Citation
B. Aupetit, GEOMETRICAL CHARACTERIZATION OF ALGEBRAIC-VARIETIES OF C2, Proceedings of the American Mathematical Society, 123(11), 1995, pp. 3323-3327
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
11
Year of publication
1995
Pages
3323 - 3327
Database
ISI
SICI code
0002-9939(1995)123:11<3323:GCOAOC>2.0.ZU;2-B
Abstract
We prove that a closed subset V not equal C-2 is an algebraic variety if all its horizontal sections and its vertical sections are finite or a complex line and if C-2\V is an open set of holomorphy (equivalentl y pseudoconvex). This result has important consequences in the theory of the socle for Jordan-Banach algebras.