Standard Veronese degree and star configurations

Thai Thanh Nguyen

doi:10.1090/proc/17813

Standard Veronese degree and star configurations

Commutative Algebra 2026-07-03 v1 Combinatorics

Authors: Thai Thanh Nguyen

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Abstract

We show that the standard Veronese degree of the defining ideal $I_{n,h}$ of a monomial star configuration is $\lcm(1,2,\ldots,h)$ , proving a conjecture by Grifo and Seceleanu. We also provide a counter-example for their question regarding upper bounds for the standard Veronese degree of monomial ideals.

Keywords

standard Veronese degree star configurations monomial ideals defining ideal least common multiple

Cite

@article{arxiv.2607.03500,
  title  = {Standard Veronese degree and star configurations},
  author = {Thai Thanh Nguyen},
  journal= {arXiv preprint arXiv:2607.03500},
  year   = {2026}
}

Comments

10 pages, to appear in Proceedings of the AMS