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Submodules of minimal Buchsbaum–Rim multiplicity and applications

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Abstract

We give a characterization, in terms of an equality of integral closures, of a class of submodules having minimal Buchsbaum–Rim multiplicity with respect to a family of ideals. This is a notion motivated by an inequality of multiplicities. We apply our study to the computation of a known invariant in singularity theory.

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Authors and Affiliations

  1. Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022, Valencia, Spain

    Carles Bivià-Ausina

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  1. Carles Bivià-Ausina
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Correspondence to Carles Bivià-Ausina.

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Work supported by DGICYT Grant MTM2006–06027.

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Bivià-Ausina, C. Submodules of minimal Buchsbaum–Rim multiplicity and applications. manuscripta math. 129, 525–544 (2009). https://doi.org/10.1007/s00229-009-0266-3

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  • DOI: https://doi.org/10.1007/s00229-009-0266-3

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