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Examples of Factorial Rings in Algebraic Geometry

Published online by Cambridge University Press:  20 November 2018

Jacek Bochnak  and
Wojciech Kucharz
Jacek Bochnak
Affiliation:
Department of Mathematics and Computer Sciences, Vrije Universiteit, 1007 MC Amsterdam, Postbus 7161, The Netherlands
Wojciech Kucharz
Affiliation:
Department of Mathematics and Statistics, University of New Mexico Albuquerque, New Mexico, 87131, USA
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Abstract

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We show that the ring of complex-valued regular functions on an affine irreducible nonsingular real algebraic variety X is factorial if dim X = 1 or dim X = 2 and X has no compact connected components or X is compact and the second cohomology group of X with integral coefficients vanishes.

Keywords

13 F 15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987 , pp. 75 - 79
Copyright
Copyright © Canadian Mathematical Society 01

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