Monomial multiplicities in explicit form

2019/01/10 by Alesandroni, Guillermo
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.03291

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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