Mathematics > Algebraic Geometry
[Submitted on 11 Apr 2011 (v1), revised 30 Nov 2014 (this version, v3), latest version 27 May 2019 (v4)]
Title:Sur le produit de variétés localement factorielles ou Q-factorielles
View PDFAbstract:We show that the factorial and Q-factorial loci of algebraic varieties defined over an algebraically closed field are open, that products of locally factorial varieties are still locally factorial, and that this property remains true for Q-factorial varieties if the ground field is not the algebraic closure of a finite field.
Submission history
From: Olivier Serman [view email][v1] Mon, 11 Apr 2011 07:36:25 UTC (15 KB)
[v2] Wed, 26 Nov 2014 07:36:41 UTC (15 KB)
[v3] Sun, 30 Nov 2014 14:34:34 UTC (15 KB)
[v4] Mon, 27 May 2019 07:54:10 UTC (15 KB)
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