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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…
math.AG2021
Grothendieck rings of definable subassignments and equivariant motivic measures
Quy Thuong Le
The paper studies categories of definable subassignments with some category equivalences to semi-algebraic and constructible subsets of arc spaces of algebraic varieties. These mat…