PreprintCC BY 4.0arXiv
K2-regularity is equivalent to smoothness for toric varieties
Abstract
Recent work by Wanchun Shen shows that K2-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.
Related
BibTeX
@misc{haesemeyer2026k2regularity,
title = {{$K_2$-regularity is equivalent to smoothness for toric varieties}},
author = {Christian Haesemeyer and George Henderson-Walshe},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.27761},
eprint = {2608.27761},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27761},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - K_2-regularity is equivalent to smoothness for toric varieties
AU - Christian Haesemeyer
AU - George Henderson-Walshe
PY - 2026
DA - 2026/08/27
PB - arXiv
DO - 10.48550/arxiv.2608.27761
UR - https://arxiv.org/abs/2608.27761
AB - 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.
ER -