PreprintCC BY 4.0arXiv
Obstructions to embedding singular curves in toric varieties
Abstract
For every integer d ≥ 2, we show that there exists an irreducible, reduced curve which embeds in ℙd but in no projective normal toric variety of dimension less than d. In particular, there exist reduced irreducible curves that embed in ℙd but do not embed in any weighted projective space of dimension less than d.
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BibTeX
@misc{banks2026obstructions,
title = {{Obstructions to embedding singular curves in toric varieties}},
author = {Maya Banks and Izzet Coskun and Kevin Tucker},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.18475},
eprint = {2607.18475},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.18475},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Obstructions to embedding singular curves in toric varieties
AU - Maya Banks
AU - Izzet Coskun
AU - Kevin Tucker
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2607.18475
UR - https://arxiv.org/abs/2607.18475
AB - For every integer d ≥ 2, we show that there exists an irreducible, reduced curve which embeds in ℙ^d but in no projective normal toric variety of dimension less than d. In particular, there exist reduced irreducible curves that embed in ℙ^d but do not embed in any weighted projective space of dimension less than d.
ER -