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math.AG2024
Nash blowups of normal toric surfaces: the case of one and two segments
Daniel Duarte, Jawad Snoussi
We show that iterating Nash blowups resolve the singularities of normal toric surfaces satisfying the following property: the minimal generating set of the corresponding semigroup…
math.AG2024
Nash blowup fails to resolve singularities in dimensions four and higher
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Álvarez +1
In this paper we show that iterating Nash blowups or normalized Nash blowups does not resolve the singularities of algebraic varieties of dimension four or higher over an algebraic…
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…