Sur le produit de vari\'et\'es localement factorielles ou Q-factorielles

Autor:	Boissière, Samuel, Gabber, Ofer, Serman, Olivier
Jazyk:	francouzština
Rok vydání:	2011
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra
Druh dokumentu:	Working Paper
Popis:	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. Comment: in French, minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.1861 Zobrazit plný text záznamu View this record from Arxiv