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Monomial ideals whose powers have a linear resolution

Juergen Herzog·Takayuki Hibi·Xinxian Zheng
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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. In particular it is shown that all powers of a monomial ideal with 2-linear resolution have again a linear resolution.

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Juergen Herzog, Takayuki Hibi, Xinxian Zheng. 2003-07-16. Monomial ideals whose powers have a linear resolution. https://arxiv.org/abs/math/0307222

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