Sur le produit de variétés localement factorielles ou Q-factorielles

Abstract

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.

arXiv commentin French, minor changes

Cited by in corpus (6)

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• On moduli spaces of sheaves on K3 or abelian surfaces