2 papers
math.AG2023
The intrinsic topological nature of the Poincaré series of a plane curve singularity
Patricio Almirón, Julio-José Moyano-Fernández
In this paper we provide some factorization theorems of the Poincaré series of a plane curve singularity depending on some key values of the semigroup of values of \(C\).…
math.AG2022
The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities
Patricio Almirón
In this note we provide a formula for the Tjurina number of a join of isolated hypersurface singularities in separated variables. From this we are able to provide a characterizatio…