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arXiv 2608.27761math.AGmath.KT

$K_2$-正则性对于环面簇等价于光滑性

$K_2$-regularity is equivalent to smoothness for toric varieties

Christian Haesemeyer, George Henderson-Walshe

AI总结:

本文证明,特征零下仿射环面簇的$K_2$-正则性等价于其光滑性,拓展了沈万春关于仿射局部完全交的相关结论。

AI中文摘要:

沈万春近期工作表明,特征零下任意维的$K_2$-正则仿射局部完全交都是光滑的;本文中,我们证明该结论对仿射环面簇同样成立。

英文摘要:

Recent work by Wanchun Shen shows that $K_2$-regular affine local complete intersections of any dimension in characteristic zero are smooth. In this note, we show that the same holds for affine toric varieties.

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