Powers of lexsegment ideals with linear resolution

Details Powers of lexsegment ideals with linear resolution Powers of lexsegment ideals with linear resolution

2010-11-09

arxiv.org/abs/1011.2157v1

Mathematics

Commutative Algebra

Scientific paper

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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