B. Oréfice-Okamoto

activity

20142023

most citedEquisingularity of families of isolated determinantal singularities

2 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

math.AG2023

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…

math.AG2021

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 $μ_{B R}^{-} (f, X)$ of a function on an isolated hypersurface singularity $(X, 0)$ . We show that $μ_{B R}^{-} (f, X)$ is equal to the sum of…

math.AG2020

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 ${f_{t} : (X_{t}, 0) \to (C, 0)}$ , where $(X_{t}, 0)$ are $d$ -dimensional isolated determinantal singularities. We de…

math.AG2018

$μ$ -constant deformations of functions on ICIS

R. S. Carvalho, B. Orefice-Okamoto, J. N. Tomazella

We study deformations of holomorphic function germs $f : (X, 0) \to C$ where $(X, 0)$ is an ICIS. We present conditions for these deformations to have constant Milnor number, Eul…

math.AG2015

Equisingularity of map germs from a surface to the plane

J. J. Nuño-Ballesteros, B. Oréfice-Okamoto, J. N. Tomazella

Let $(X, 0)$ 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 $X_{s}$ is a smoothing of $…

math.AG2014★ 2 cited

Equisingularity of families of isolated determinantal singularities