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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…