39 citations · 127 across the 37 of their papers we have counts for
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math.AG2011★ 4 cited
Codimension Two Determinantal Varieties with Isolated Singularities
Miriam da Silva Pereira, Maria Aparecida Soares Ruas
We study codimension two determinantal varieties with isolated singularities. These singularities admit a unique smoothing, thus we can define their Milnor number as the middle Bet…
math.AG2011★ 39 cited
Regularity at infinity of real mappings and a Morse-Sard theorem
L. R. G. Dias, M. A. S. Ruas, M. Tibar
We prove a new Morse-Sard type theorem for the asymptotic critical values of semi-algebraic mappings and a new fibration theorem at infinity for mappings. We show the equival…
math.AG2011
Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane
Alexandre Fernandes, Maria Ruas
The main goal of this work is to show that if two weighted homogeneous (but not homogeneous) function-germs $(\C^2,0)\to(\C,0)$ are bi-Lipschitz equivalent, in the sense that these…