Sur le produit de vari\'et\'es localement factorielles ou Q-factorielles
Algebraic Geometry
2019-05-28 v4 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1104.1861,
title = {Sur le produit de vari\'et\'es localement factorielles ou Q-factorielles},
author = {Samuel Boissière and Ofer Gabber and Olivier Serman},
journal= {arXiv preprint arXiv:1104.1861},
year = {2019}
}
Comments
in French, minor changes