39 citations · 127 across the 37 of their papers we have counts for
48 papers
Bi-Lipschitz triviality of function-germs on singular varieties
Raúl Oset Sinha, Maria Aparecida Soares Ruas
In this paper we study the bi-Lipschitz triviality of deformations of an analytic function germ defined on a germ of an analytic variety in . We introduce…
Toric varieties with isolated singularity and smooth normalization
Thais Maria Dalbelo, Maria Elenice Rodrigues Hernandes, Maria Aparecida Soares Ruas
In this work, we describe a prenormal form for the generators of the semigroup of a toric variety with isolated singularity at the origin and smooth normal…
Nash blowups of 2-generic determinantal varieties in positive characteristic
Thaís M. Dalbelo, Daniel Duarte, Maria Aparecida Soares Ruas
We show that the Nash blowup of 2-generic determinantal varieties over fields of positive characteristic is non-singular. We prove this in two steps. Firstly, we explicitly describ…
Modules of derivations, logarithmic ideals and singularities of maps on analytic varieties
Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas
We introduce the module of derivations attached to a given analytic map and a submodule and analyse sev…
Relative Bruce-Roberts number and Chern obstruction
Bárbara K. Lima Pereira, Maria Aparecida Soares Ruas, Hellen Santana
Let be the germ of an equidimensional analytic set in and a map-germ into the plane defined on In this work, we investigate topological…
Bruce-Roberts Numbers and Quasihomogeneous Functions on Analytic Varieties
Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas
Given a germ of an analytic variety and a germ of a holomorphic function with a stratified isolated singularity with respect to the logarithmic stratification of , we sh…