On the minimal graded free resolution of powers of lexsegment ideals
Anda Olteanu
TL;DR
This paper provides a detailed description of the minimal graded free resolutions for powers of lexsegment ideals that have linear resolutions but are not completely lexsegment, expanding understanding of their algebraic structure.
Contribution
It offers a complete characterization of the minimal graded free resolutions for a specific class of lexsegment ideals with linear resolutions.
Findings
Explicit description of minimal graded free resolutions
Characterization of powers of lexsegment ideals with linear quotients
Extension beyond completely lexsegment ideals
Abstract
We consider powers of lexsegment ideals with a linear resolution (equivalently, with linear quotients) which are not completely lexsegment ideals. We give a complete description of their minimal graded free resolution.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Polynomial and algebraic computation