Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers
Commutative Algebra
2023-08-30 v2
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.
Cite
@article{arxiv.1902.07384,
title = {Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers},
author = {Kriti Goel and Vivek Mukundan and Sudeshna Roy and J. K. Verma},
journal= {arXiv preprint arXiv:1902.07384},
year = {2023}
}
Comments
Vivek Mukundan joined as a new co-author. The package has improved significantly from its earlier version