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arXiv · 1104.1861

Sur le produit de variétés localement factorielles ou Q-factorielles

Samuel Boissière·Ofer Gabber·Olivier Serman
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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.

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Samuel Boissière, Ofer Gabber, Olivier Serman. 2019-05-27. Sur le produit de variétés localement factorielles ou Q-factorielles. https://arxiv.org/abs/1104.1861

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