10 citations · 21 across the 13 of their papers we have counts for
8 papers · 1 filter
Divisorial persistent homology and volume asymptotics of complex pairs
Nivaldo Grulha
To a log-resolution of a complex pair $(X,\I)$ we associate the weights of the prime divisors of the total transform of $\I$, where is the vanishing ord…
On the Divisorial Geometry of Volume Asymptotics of Sublevel Sets
Nivaldo Grulha
The log canonical threshold (LCT) is a fundamental invariant in birational geometry and singularity theory, measuring the complexity of an analytic singularity through discrepancy…
Results on Milnor Fibrations for mixed polynomials with non-isolated singularities
N. G. Grulha, R. S. Martins
In this article we investigate mixed polynomials and present conditions that can be applied on a specific class of polynomials in order to prove the existence of the Milnor Fibrati…
Real and complex integral closure, Lipschitz equisingularity and applications on square matrices
Thiago F. da Silva, Nivaldo G. Grulha, Miriam S. Pereira
Recently the authors investigated the Lipschitz triviality of simple germs of matrices. In this work, we improve some previous results and we present an extension of an integral cl…
Global Euler obstruction, global Brasselet numbers and critical points
Nicolas Dutertre, Nivaldo G. Grulha
Let be an equidimensional complex algebraic set and let be a polynomial function. For each , we define the global Brassel…
The local Euler obstruction and topology of the stabilization of associated determinantal varieties
Terence Gaffney, Nivaldo G. Grulha, Maria A. S. Ruas
This work has two complementary parts, in the first part we compute the local Euler obstruction of generic determinantal varieties and apply this result to compute the Chern--Schwa…
The Nash modifications and the bi-Lipschitz equivalence
J. -P. Brasselet, A. Fernandes, N. G. Grulha +1
In this paper we investigate the relation betwen the Nash modification and the Bi-Lipschtiz equivalent germs in the cases of two germs and for a family of hypersurfaces with isolat…
Lê-Greuel type formula for the Euler obstruction and applications
Nicolas Dutertre, Nivaldo G. Grulha
The Euler obstruction of a function can be viewed as a generalization of the Milnor number for functions defined on singular spaces. In this work, using the Euler obstruction of a…