From the 1 of 6 linked papers with an AI index.
6 papers
Geometric Criteria for Morrey Admissibility via the Real Log-Canonical Threshold
Nivaldo Grulha, Andréa Prokopczyk, Andréa Prokopczyk
The paper characterizes the local well‑posedness of aggregation equations with singular interaction kernels in Morrey spaces, showing that the admissible Morrey exponents are deter…
Divisorial persistent homology and volume asymptotics of analytic pairs
Nivaldo Grulha
A log-resolution of an analytic pair attaches to every prime divisor of its total transform a vanishing order , a Jacobian order , and hence a divisorial expo…
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…
Generic -finite determinacy and singularities of homogeneous polynomial mappings
N. G. Grulha, J. V. Pissolato, M. A. S. Ruas
We make a detailed investigation of the generic properties that polynomial mappings possess. An important starting point is the work by Farnik, Jelonek and Ruas in 2019, where they…
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 t…
Poincaré-Hopf Theorem for Isolated Determinantal Singularities
N. G. Grulha, M. S. Pereira, H. Santana
Let be a projective -variety with isolated determinantal singularities and be a -form on with a finite number of singularities (in the strati…