The Lipschitz Saturation of a Module
In this work we extend the concept of the Lipschitz saturation of an ideal defined in [5] to the context of modules in some different ways, and we prove they are generically equivalent.
math.AG↗
arXiv subjects
Thiago F. da Silva
Publications and source records attributed to Thiago F. da Silva.
Real and complex integral closure, Lipschitz equisingularity and applications on square matrices
Recently the authors investigated the Lipschitz triviality of simple germs of matrices. In this work, we improve some previous results and we present an extension of an integral closure result for the real setting. These tools are applied to investigate classes of square matrices singularities classified by Bruce and Tari.
math.AG↗
The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities
The bi-Lipschitz geometry is one of the main subjects in the modern approach of Singularity Theory. However, it rises from works of important mathematicians of the last century, especially Zariski. In this work we investigate the Bi-Lipschitz equisingularity of families of Essentially Isolated Determinantal Singularities inspired by the approach of Mostowski and Gaffney.
math.CA↗
Categorical Aspects of the Double Structure of a Module
In this work we develop some categorical aspects of the double structure of a module.
math.AG↗