Sur le produit de variétés localement factorielles ou Q-factorielles

Details Sur le produit de variétés localement factorielles ou Q-factorielles Sur le produit de variétés localement factorielles ou Q-factorielles

2011-04-11

arxiv.org/abs/1104.1861v1

Mathematics

Algebraic Geometry

Scientific paper

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 if the ground field is not the algebraic closure of a finite field.

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