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Paper detail

The $j$-Multiplicity of Monomial Ideals

We prove a characterization of the j-multiplicity of a monomial ideal as the normalized volume of a polytopal complex. Our result is an extension of Teissier's volume-theoretic interpretation of the Hilbert-Samuel multiplicity for m-primary monomial ideals. We also give a description of the epsilon-multiplicity of a monomial ideal in terms of the volume of a region.

preprint2014arXivOpen access
Jack JeffriesJonathan Montaño
math.COmath.AC
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Jack JeffriesJonathan Montaño

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