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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.

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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  -