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

DOI10.2140/jsag.2023.13.1zbMath1525.13001arXiv1902.07384OpenAlexW4386245526MaRDI QIDQ6071629

Sudeshna Roy, Kriti Goel, Jugal Kishore Verma, Vivek Mukundan

Publication date: 28 November 2023

Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07384

zbMATH Keywords

mixed multiplicitiesmixed volumemulti-Rees algebrassectional Milnor numbers

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• The ReesAlgebra package in Macaulay2
• On the defining equations of multi-graded rings
• A Formula for the Multiplicity of the Multi-graded Extended Rees Algebra
• What is the Rees algebra of a module?
• Multi-Rees algebras and toric dynamical systems
• Mixed multiplicities of ideals versus mixed volumes of polytopes

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