Picard Groups Of Algebraic Groups And An Affineness Criterion

Autor:	Rosengarten, Zev
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We prove that an algebraic group over a field $k$is affine precisely when its Picard group is torsion, and show that in this case the Picard group is finite when $k$ is perfect, and the product of a finite group of order prime to $p$ and a $p$-primary group of finite exponent when $k$ is imperfect of characteristic $p$. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.04959 Zobrazit plný text záznamu View this record from Arxiv