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arXiv · 1902.07384

Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers

Kriti Goel·Vivek Mukundan·Sudeshna Roy·J. K. Verma
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Abstract

We present a package 'MixedMultiplicity' for computing mixed multiplicities of ideals in a Noetherian ring which is either local or a standard graded algebra over a field. This enables us to find mixed volumes of convex lattice polytopes and sectional Milnor numbers of hypersurfaces with an isolated singularity. The algorithms make use of the defining equations of the multi-Rees algebra of ideals, which are obtained by generalising a result of D. Cox. K.-N. Lin, and G. Sosa.

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Kriti Goel, Vivek Mukundan, Sudeshna Roy, J. K. Verma. 2019-02-20. Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers. https://doi.org/10.2140/jsag.2023.13.1

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