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arXiv · 1011.2157

Powers of lexsegment ideals with linear resolution

Viviana Ene·Anda Olteanu
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Abstract

All powers of lexsegment ideals with linear resolution (equivalently, with linear quotients) have linear quotients with respect to suitable orders of the minimal monomial generators. For a large subclass of the lexsegment ideals the corresponding Rees algebra has a quadratic Gr\"obner basis, thus it is Koszul. We also find other classes of monomial ideals with linear quotients whose powers have linear quotients too.

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Viviana Ene, Anda Olteanu. 2010-11-09. Powers of lexsegment ideals with linear resolution. https://arxiv.org/abs/1011.2157

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