1 citations · 1 across the 7 of their papers we have counts for
10 papers
Generalized upper principal part of real planar polynomial vector fields
Thaís Maria Dalbelo, Regilene Oliveira, Otavio Henrique Perez
The goal of this paper is to generalize recent results about the topological classification of the dynamics of a real planar polynomial vector field near infinity. Given a polynomi…
Whitney equisingularity for families of hypersurfaces in toric varieties
Thaís Maria Dalbelo, Danilo da Nóbrega Santos
In this paper, we establish conditions for a family of functions, with not necessarily isolated singularities, defined on a toric variety so that the associated family of…
The Euler characteristic of Milnor fibers over 2-generic symmetric determinantal varieties
Thaís M. Dalbelo, Daniel Duarte, Danilo da Nóbrega Santos
In this work we present a formula for the Euler characteristic of the Milnor fiber of non-degenerate functions with isolated critical set relative to a strati…
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…
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…
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…
Topological equivalence in the infinity of a planar vector field and its principal part defined through Newton polytope
Thais Maria Dalbelo, Regilene Oliveira, Otavio Henrique Perez
Given a planar polynomial vector field with a fixed Newton polytope , we prove (under some non degeneracy conditions) that the monomials associated to the upper bo…
Newton Polyhedra and Whitney Equisingularity for Isolated Determinantal Singularities
Thaís M. Dalbelo, Luiz Hartmann, Maicom Varella
Using Newton polyhedra and non-degeneracy of matrices we present conditions which guarantee the Whitney equisingularity of families of isolated determinantal singularities.
Stratified Morse critical points and Brasselet number on non-degenerate locally tame singularities
Thaís M. Dalbelo, Hellen Santana
The generalization of the Morse theory presented by Goresky and MacPherson is a landmark that divided completely the topological and geo\-me\-tri\-cal study of singular spaces. Let…
Brasselet number and Newton polygons
Thais M. Dalbelo, Luiz Hartmann
We present a formula to compute the Brasselet number of $f:(Y,0)\to (\C, 0)$ where is a non-degenerate complete intersection in a toric variety . As applications we…