PreprintCC BY 4.0arXiv
On complete intersection projective closures of monomial curves
Abstract
We study the complete intersection property of projective closures of affine monomial curves. For monomial curves in the four-dimensional affine space, we give a complete characterization of when the defining ideals of their projective closures are complete intersections. We also investigate when the projective closures are arithmetically Cohen--Macaulay.
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BibTeX
@misc{katsabekis2026complete,
title = {{On complete intersection projective closures of monomial curves}},
author = {Anargyros Katsabekis},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.15366},
eprint = {2607.15366},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.15366},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On complete intersection projective closures of monomial curves
AU - Anargyros Katsabekis
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2607.15366
UR - https://arxiv.org/abs/2607.15366
AB - We study the complete intersection property of projective closures of affine monomial curves. For monomial curves in the four-dimensional affine space, we give a complete characterization of when the defining ideals of their projective closures are complete intersections. We also investigate when the projective closures are arithmetically Cohen--Macaulay.
ER -