论文标题
强烈$ f $ regular戒指中的扭转除数的数量受$ f $ signature的倒数界限
The number of torsion divisors in a strongly $F$-regular ring is bounded by the reciprocal of $F$-signature
论文作者
论文摘要
波尔斯特拉（Polstra）表明，局部强烈$ f $ regartular Ring的Divisor级组的扭转亚组的基数是有限的。我们扩展了这一结果，并证明了本地强烈的$ f $ regular rund $ r $的$ f $ - 签名的互惠限制了$ r $ $ r $的Divisor类小组的扭力子组的基数。
Polstra showed that the cardinality of the torsion subgroup of the divisor class group of a local strongly $F$-regular ring is finite. We expand upon this result and prove that the reciprocal of the $F$-signature of a local strongly $F$-regular ring $R$ bounds the cardinality of the torsion subgroup of the divisor class group of $R$.
