5 citations · 6 across the 5 of their papers we have counts for
5 papers
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…
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…
Higher Jacobian ideals, contact equivalence and motivic zeta functions
Quy Thuong Lê, Takehiko Yasuda
We show basic properties of higher Jacobian matrices and higher Jacobian ideals for functions and apply it to obtain two results concerning singularities of functions. Firstly, we…
The motivic Thom-Sebastiani theorem for regular and formal functions
Le Quy Thuong
Thanks to Hrushovski-Loeser's work on motivic Milnor fibers, we give a model-theoretic proof for the motivic Thom-Sebastiani theorem in the case of regular functions. Moreover, sli…
A proof of the -adic version of the integral identity conjecture for polynomials
Le Quy Thuong
It is well known that the integral identity conjecture is of prime importance in Kontsevich-Soibelman's theory of motivic Donaldson-Thomas invariants for non-commutative Calabi-Yau…