2 papers
math.AG2024
The Igusa local zeta function of certain Thom-Sebastiani type functions
Quy Thuong Lê, Hoang Long Nguyen
In this paper, we give an explicit formula of the Igusa local zeta function of a Thom-Sebastiani type sum of two separated-variable Newton non-critical polynomials. Data for the de…
math.AG2024
The -adic zeta function of a plane curve singularity
Huyen Trang Hoang, Quy Thuong Lê, Hoang Long Nguyen
Using toric modifications and some compatibility we compute the local -adic zeta function of a plane curve singularity. Thanks to the compatibility, we can work over the analyti…