16 citations · 20 across the 11 of their papers we have counts for
12 papers · 1 filter
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…
Finite -determinacy of generic homogeneous map germs in
M. Farnik, Z. Jelonek, M. A. S. Ruas
Denote by the set of all homogeneous polynomial mappings $F=(f_1,f_2,f_3): \C^3\to\C^3$, such that . We show that if for $1\leq i<j…
Mixed Bruce-Roberts numbers
Carles Bivià-Ausina, María Aparecida Soares Ruas
We extend the notion of -sequence and Tjurina number of functions to the framework of Bruce-Roberts numbers, that is, to pairs formed by the germ at of a complex analytic…
Classification of Lipschitz simple function germs
Nhan Nguyen, Maria Ruas, Saurabh Trivedi
It is known that the bi-Lipschitz right classification of function germs admit moduli. In this article we introduce a notion called the Lipschitz simple function germs and present…