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The $j$-Multiplicity of Monomial Ideals

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 نشر من قبل Jack Jeffries
 تاريخ النشر 2012
  مجال البحث
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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 Teissiers 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.



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