Regularity and multiplicity of Veronese type algebras

Kuei Nuan Lin; Yi Huang Shen

doi:10.4153/S0008439525100970

Regularity and multiplicity of Veronese type algebras

Kuei Nuan Lin
, Yi Huang Shen

Penn State Greater Allegheny

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, 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.

Original language	English (US)
Pages (from-to)	150-178
Number of pages	29
Journal	Canadian Mathematical Bulletin
Volume	69
Issue number	1
DOIs	https://doi.org/10.4153/S0008439525100970
State	Published - Mar 1 2026

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4153/S0008439525100970

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Regularity and multiplicity of Veronese type algebras

Abstract

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