论文标题
$ f $ -purity变形在$ \ mathbb {q} $ -Gorenstein Rings中
$F$-purity deforms in $\mathbb{Q}$-Gorenstein rings
论文作者
论文摘要
我们表明，$ f $ -purity在本地$ \ mathbb {q} $ - 主要特征$ p> 0 $的Gorenstein环中变形。此外，我们表明$ f $ -purity是$ \ mathfrak {m} $ - 在本地Cohen-Macaulay $ \ Mathbb {q} $ - Gorenstein Rings中非常稳定。
We show that $F$-purity deforms in local $\mathbb{Q}$-Gorenstein rings of prime characteristic $p>0$. Furthermore, we show that $F$-purity is $\mathfrak{m}$-adically stable in local Cohen-Macaulay $\mathbb{Q}$-Gorenstein rings.
