7 citations · 10 across the 10 of their papers we have counts for
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The Bruce-Roberts Numbers of 1-Forms on an ICIS
Bárbara K. Lima-Pereira, Juan José Nuño-Ballesteros, Bruna Oréfice-Okamoto +1
We relate the Bruce-Roberts numbers of a 1-form with respect to an ICIS to other invariants as the GSV-index, Tjurina and Milnor numbers.
Double points and image of reflection maps
Jose Rafael Borges Zampiva, Guillermo Penafort-Sanchis, Bruna Orefice-Okamoto +1
A reflection mapping is a singular holomorphic mapping obtained by restricting the quotient mapping of a complex reflection group. We study the analytic structure of double point s…
On invariants of a map germ from n-space to 2n-space
Juan José Nuño-Ballesteros, Otoniel Nogueira da Silva, João Nivaldo Tomazella
We consider -finite map germs from to . First, we show that the number of double points that appears in a stabilization of…
The Bruce-Roberts Numbers of a Function on an ICIS
Bárbara K. Lima-Pereira, Juan José Nuño-Ballesteros, Bruna Oréfice-Okamoto +1
We give formulas for the Bruce-Roberts number and its relative version of a function with respect to an ICIS . We show that $μ_{BR}^{-}(f…
The relative Bruce-Roberts number of a function on a hypersurface
Barbara K. Lima-Pereira, Juan Jose Nuno-Ballesteros, Bruna Orefice-Okamoto +1
We consider the relative Bruce-Roberts number of a function on an isolated hypersurface singularity . We show that is equal to the sum of…
Families of ICIS with constant total Milnor number
Rafaela Soares de Carvalho, Juan José Nuño-Ballesteros, Bruna Oréfice-Okamoto +1
We show that a family of isolated complete intersection singularities (ICIS) with constant total Milnor number has no coalescence of singularities. This extends a well known result…
Equisingularity of families of functions on isolated determinantal singularities
Rafaela S. Carvalho, Juan J. Nuño-Ballesteros, Bruna Oréfice-Okamoto +1
We study the equisingularity of a family of function germs , where are -dimensional isolated determinantal singularities. We de…
The Bruce-Roberts number of a function on a hypersurface with isolated singularity
Juan J. Nuño-Ballesteros, Bruna Oréfice-Okamoto, Bárbara K. L. Pereira +1
Let be an isolated hypersurface singularity defined by and such that the Bruce-Roberts number…
-constant deformations of functions on ICIS
R. S. Carvalho, B. Orefice-Okamoto, J. N. Tomazella
We study deformations of holomorphic function germs where is an ICIS. We present conditions for these deformations to have constant Milnor number, Eul…
Image Milnor number and -codimension for maps between weighted homogeneous irreducible curves
Daiane Alice Henrique Ament, Juan Jose Nuño Ballesteros, João Nivaldo Tomazella
Let be an irreducible weighted homogeneous singularity curve and let be a map germ finite, one-to-one and weighted homo…
Equisingularity of map germs from a surface to the plane
J. J. Nuño-Ballesteros, B. Oréfice-Okamoto, J. N. Tomazella
Let be an ICIS of dimension 2 and let $f:(X,0)\to (\C^2,0)$ be a map germ with an isolated instability. We look at the invariants that appear when is a smoothing of $…
Equisingularity of families of isolated determinantal singularities
J. J. Nuño-Ballesteros, B. Oréfice-Okamoto, J. N. Tomazella
We study the topological triviality and the Whitney equisingularity of a family of isolated determinantal singularities. On one hand, we give a Lê-Ramanujam type theorem for this k…
Invariants of Topological Relative Right Equivalences
Imran Ahmed, Maria Aparecida Soares Ruas, João Nivaldo Tomazella
The constancy of the Milnor number has several characterizations which were summarized by Greuel in 1986. This paper presents a study of these characterizations in the case of fami…