4 papers
LipschitzSaturation: A Macaulay2 Package for Computing Lipschitz Saturations of Modules and Toric Varieties
Guilherme Schultz Netto, Thiago da Silva
We introduce \verb|LipschitzSaturation|, a package for the computer algebra system \textit{Macaulay2} that implements algorithms for computing Lipschitz saturations of modules and…
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 Łojasiewicz exponent and the local Euler obstruction. We dra…
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…
Newton polyhedra and the integral closure of ideals on toric varieties
Amanda S. Araújo, Thaís 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…