3 papers
math.AG2026
Equivariant motivic integration on special formal schemes
Quy Thuong Lê, Hong Duc Nguyen
In this article, we construct an equivariant version of motivic integration on special formal schemes that generalizes our previous work for algebraic varieties. Pointing out the e…
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…