10 citations · 21 across the 13 of their papers we have counts for
16 papers
The Milnor Fiber as a Local Conley Index
Jean-Paul Brasselet, Nivaldo Grulha
Let $f:(\C^n,0)\to(\C,0)$ be a holomorphic germ with an isolated critical point at the origin, and let be the negative gradient flow of $\re f$ with respect to a Riemannian m…
Geometric Criteria for Morrey Admissibility via the Real Log-Canonical Threshold
Nivaldo Grulha, Andréa Prokopczyk
We study local integrability of gradients of singular interaction kernels in aggregation equations. Suppose near the singularity that , wh…
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…
Poincaré-Hopf Theorem for Isolated Determinantal Singularities
N. G. Grulha, M. S. Pereira, H. Santana
Let be a projective algebraic -variety endowed with isolated determinantal singularities, and let be a -form on exhibiting a finite number of singularities (in th…
Gutierrez-Sotomayor Flows on Singular Surfaces
Murilo A. J. Zigart, Ketty A. de Rezende, Nivaldo G. Grulha +1
In this work we address the realizability of a Lyapunov graph labeled with GS singularities, namely regular, cone, Whitney, double crossing and triple crossing singularities, as co…