From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
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…
The contraction property on the relative weak normalization and Lipschitz saturation of algebras
Thiago da Silva
Inspired by the results obtained in \cite{SR}, in this work, we develop techniques to handle the contraction property for weak normalization and Lipschitz saturation of algebras fo…
Monomial algebraic and algebroid curves and their Lipschitz saturation over the ground ring
Anne Frühbis-Krüger, Thiago da Silva
In this article, we provide an explicit description of the Lipschitz saturation of a subalgebra over a ring in terms of…