Regularity and multiplicity of Veronese type algebras
Commutative Algebra
2026-01-28 v2 Combinatorics
Abstract
In this paper, we study the algebra of Veronese type. We show that the presentation ideal of this algebra has an initial ideal whose Alexander dual has linear quotients. As an application, we explicitly obtain the Castelnuovo-Mumford regularity of the Veronese type algebra. Furthermore, we give an effective upper bound on the multiplicity of this algebra.
Keywords
Cite
@article{arxiv.2305.01859,
title = {Regularity and multiplicity of Veronese type algebras},
author = {Kuei-Nuan Lin and Yi-Huang Shen},
journal= {arXiv preprint arXiv:2305.01859},
year = {2026}
}
Comments
Accepted to Canadian Mathematical Bulletin