Geodesic
Examples of Factorial Rings in Algebraic Geometry
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 75-79

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DOI

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.
DOI : 10.4153/CMB-1987-011-8
Mots-clés : 13 F 15 
Bochnak, Jacek; Kucharz, Wojciech. Examples of Factorial Rings in Algebraic Geometry. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 75-79. doi: 10.4153/CMB-1987-011-8
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     author = {Bochnak, Jacek and Kucharz, Wojciech},
     title = {Examples of {Factorial} {Rings} in {Algebraic} {Geometry}},
     journal = {Canadian mathematical bulletin},
     pages = {75--79},
     year = {1987},
     volume = {30},
     number = {1},
     doi = {10.4153/CMB-1987-011-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-011-8/}
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