10 citations · 12 across the 5 of their papers we have counts for
6 papers
On deformations of isolated singularity functions
Aurélio Menegon, Miriam da Silva Pereira
We study multi-parameters deformations of isolated singularity function-germs on either a subanalytic set or a complex analytic spaces. We prove that if such a deformation has no c…
Real and complex integral closure, Lipschitz equisingularity and applications on square matrices
Thiago F. da Silva, Nivaldo G. Grulha, Miriam S. Pereira
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 cl…
Properties of G-Equivalence of Matrices
Miriam da Silva Pereira
The theorem of Hilbert- Burch provides a description of codimension two determinantal varieties and their deformations in terms of their presentation matrices. In this work we use…
The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities
Thiago F. da Silva, Nivaldo G. Grulha, Miriam S. Pereira
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, es…
Pullback attractor for a non local non-autonomous evolution equation in an unbounded domain
Flank D. M. Bezerra, Miriam da S. Pereira, Severino H. da Silva
In this work we consider the non local evolution equation with time-dependent terms which arises in models of phase separation in \[ \partial_t u=- u + g \left(β(J*u…
Codimension Two Determinantal Varieties with Isolated Singularities
Miriam da Silva Pereira, Maria Aparecida Soares Ruas
We study codimension two determinantal varieties with isolated singularities. These singularities admit a unique smoothing, thus we can define their Milnor number as the middle Bet…