3 papers
math.FA2025
Divided Differences and Multivariate Holomorphic Calculus
Luiz Hartmann, Matthias Lesch
We review the multivariate holomorphic functional calculus for tuples in a commutative Banach algebra and establish a simple "naïve" extension to commuting tuples in a general Ban…
math.AG2025
Newton Polyhedra and Whitney Equisingularity for Isolated Determinantal Singularities
ThaÃs M. Dalbelo, Luiz Hartmann, Maicom Varella
Using Newton polyhedra and non-degeneracy of matrices we present conditions which guarantee the Whitney equisingularity of families of isolated determinantal singularities.
math.DG2025
An Atiyah-Bott formula for the Lefschetz number of a singular foliation
Luiz Hartmann, Gerardo A. Mendoza
This paper presents a formula for the Lefschetz number of a geometric endomorphism in the style of the Atiyah-Bott theorem. The underlying data consist, first, of a compact manifol…