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arXiv · 1901.03291

Monomial multiplicities in explicit form

Guillermo Alesandroni
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Abstract

In this article we give explicit descriptions of the multiplicities of some classes of monomial ideals. For instance, we give a formula for the multiplicities of all codimension 1 monomial ideals, and another formula for the multiplicities of almost complete intersections. We also introduce a new class of ideals that extends the family of monomial complete intersections, and give a formula for their multiplicity, as well as a visual interpretation of this invariant.

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Guillermo Alesandroni. 2019-01-10. Monomial multiplicities in explicit form. https://arxiv.org/abs/1901.03291

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