论文标题
PICARD组的代数组和亲密标准
Picard Groups Of Algebraic Groups And An Affineness Criterion
论文作者
论文摘要
我们证明，当$ k $上的一个代数组恰好是当时的PICARD组为扭转，并表明在这种情况下，当$ k $非常完美时，PICARD组是有限的，而有限的订单序列到$ p $的订单组和$ p $ $ p $ - $ p $ - $ p $ - $ k $当$ k $ k $ $ k $不完美的有限元。
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 $p$.
