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Examples of Factorial Rings in Algebraic Geometry
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 01