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math.AG2024
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…
math.AG2024
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…
math.AG2024
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…