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math.AG2026
LipschitzSaturation: A Macaulay2 Package for Computing Lipschitz Saturations of Modules and Toric Varieties
Guilherme Schultz Netto, Thiago da Silva
The paper presents LipschitzSaturation, a Macaulay2 package that computes various Lipschitz saturations of modules and constructs toric varieties, including a curve‑based test to s…
math.AG2026
Bi-Lipschitz Invariants in Singularity Theory: Lojasiewicz Exponent and Euler Obstruction
Amanda S. Araujo, T. M. Dalbelo, Thiago da Silva
In this work, we investigate the bi-Lipschitz invariance of two fundamental local invariants in singularity theory: the Åojasiewicz exponent and the local Euler obstruction. We dr…
math.AG2025
Newton polyhedra and the integral closure of ideals on toric varieties
Amanda S. Araújo, ThaÃs M. Dalbelo, Thiago da Silva
In this work, we extend Saia's results on the characterization of Newton non-degenerate ideals to the context of ideals in , where is an affine toric variety defin…