3 citations · 6 across the 5 of their papers we have counts for
6 papers
Essential tori associated with links of mixed singularities
Raimundo N. Araújo dos Santos, Benjamin Bode, Thiago de Paiva +1
We establish a direct connection between the analytic data of weakly isolated mixed singularities and the topology of their associated links. More precisely, we prove that the exis…
On the topology of the Milnor Boundary for real analytic singularities
R. Araújo dos Santos, A. Menegon, M. Ribeiro +2
We study the topology of the boundaries of the Milnor fibers of real analytics map-germs and $f_{I}:=Π_{I}\circ f : (\mathbb{R}^M,0) \to…
Tameness conditions and the Milnor fibrations for composite singularities
R. N. Araújo dos Santos, D. Dreibelbis, M. F. Ribeiro +1
In this paper, we introduce a new regularity condition that characterizes the tameness of a composite singularity in a sharp way. Our approach provides a natural tool…
Links of singularities of inner non-degenerate mixed functions
Raimundo N. Araújo dos Santos, Benjamin Bode, Eder L. Sanchez Quiceno
We introduce the notion of a (strongly) inner non-degenerate mixed function . We show that inner non-degenerate mixed polynomials have weakly isolated…
On real algebraic links in the 3-sphere associated with mixed polynomials
Raimundo N. Aráujo dos Santos, Eder L. Sanchez Quiceno
In this paper we construct new classes of mixed singularities that provide realizations of real algebraic links in the -sphere. Classifications and characterizations of real alg…
Fibrations of highly singular map germs
Maico F. Ribeiro, Raimundo N. Araújo dos Santos, Mihai Tibăr
We define local fibration structures for real map germs with strictly positive dimensional discriminant: a local fibration structure over the complement of the discriminant, and a…