5 papers
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…