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arXiv · 2103.14175

Computing multiplicity sequences

Justin Chen·Youngsu Kim·Jonathan Montaño
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Abstract

The MultiplicitySequence package for Macaulay2 computes the multiplicity sequence of a graded ideal in a standard graded ring over a field, as well as several invariants of monomial ideals related to integral dependence. We discuss two strategies implemented for computing multiplicity sequences: one via the bivariate Hilbert polynomial, and the other via the technique of general elements.

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Justin Chen, Youngsu Kim, Jonathan Montaño. 2021-03-25. Computing multiplicity sequences. https://doi.org/10.2140/jsag.2024.14.13

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