Monomial ideals whose powers have a linear resolution

2004/09/01 by Jürgen Herzog, Takayuki Hibi, Xinxian Zheng · 6 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation

paper · pdf · doi:10.7146/math.scand.a-14446

crossref issued 2004/09/01 · crossref published 2004/09/01 · crossref published-online 2004/09/01 · openalex publication_date 2004/09/01 · crossref created 2016/10/12 · openalex created_date 2025/10/10 · crossref deposited 2026/07/10 · openalex updated_date 2026/07/28 · crossref indexed 2026/07/31

Abstract

In this paper we consider graded ideals in a polynomial ring over a field and ask when such an ideal has the property that all of its powers have a linear resolution. It is known [7] that polymatroidal ideals have linear resolutions and that powers of polymatroidal ideals are again polymatroidal (see [2] and [8]). In particular

Citations

• Castelnuovo-Mumford regularity of products of ideals

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