A geometrical characterization of algebraic varieties of $\textbf {C}^ 2$
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- by Bernard Aupetit PDF
- Proc. Amer. Math. Soc. 123 (1995), 3323-3327 Request permission
Abstract:
We prove that a closed subset $V \ne {\mathbb {C}^2}$ is an algebraic variety if all its horizontal sections and its vertical sections are finite or a complex line and if ${\mathbb {C}^2}\backslash V$ is an open set of holomorphy (equivalently pseudoconvex). This result has important consequences in the theory of the socle for Jordan-Banach algebras.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3323-3327
- MSC: Primary 32C25; Secondary 14A10
- DOI: https://doi.org/10.1090/S0002-9939-1995-1307489-2
- MathSciNet review: 1307489