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arXiv · 2608.27761

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

Christian Haesemeyer·George Henderson-Walshe
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Abstract

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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Christian Haesemeyer, George Henderson-Walshe. 2026-08-27. $K_2$-regularity is equivalent to smoothness for toric varieties. https://arxiv.org/abs/2608.27761

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