Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Lê, Quy Thuong"'
Autor:
Lê, Quy Thuong, Nguyen, Tat Thang
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G8, Pp 1249-1266 (2023)
We study polynomials with complex coefficients which are nondegenerate in two senses, one of Kouchnirenko and the other with respect to its Newton polyhedron, through data on contact loci and motivic nearby cycles. Introducing an explicit description
Externí odkaz:
https://doaj.org/article/5dbd779162064b06bcffd8599b650288
Autor:
Lê, Quy Thuong, Nguyen, Hoang Long
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 description are available on their Newton polyhedra.
Comment: 17 pa
Comment: 17 pa
Externí odkaz:
http://arxiv.org/abs/2412.08354
Using toric modifications and some compatibility we compute the local $p$-adic zeta function of a plane curve singularity. Thanks to the compatibility, we can work over the analytic change of variables formula for $p$-adic integrals, hence avoid adap
Externí odkaz:
http://arxiv.org/abs/2412.05470
Autor:
Lê, Quy Thuong, Yasuda, Takehiko
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 prove that a higher Nash blowup algebra is invariant under contact equ
Externí odkaz:
http://arxiv.org/abs/2310.07976
Autor:
Lê, Quy Thuong, Nguyen, Hong Duc
We construct, based on Nicaise's article in Math. Ann. in 2009, an equivariant geometric motivic integration for special formal schemes, such that when applying to algebraizable formal schemes, we can revisit our previous work in 2020 on equivariant
Externí odkaz:
http://arxiv.org/abs/2206.01005
Autor:
Le, Quy Thuong
The paper studies categories of definable subassignments with some category equivalences to semi-algebraic and constructible subsets of arc spaces of algebraic varieties. These materials allow us to compare the motivic measure of Cluckers-Loeser and
Externí odkaz:
http://arxiv.org/abs/2106.00916
Autor:
Lê, Quy Thuong, Nguyen, Khanh Hung
We study topological zeta functions of complex plane curve singularities using toric modifications and further developments. As applications of the research method, we prove that the topological zeta function is a topological invariant for complex pl
Externí odkaz:
http://arxiv.org/abs/2001.02646
Publikováno v:
J. Differential Geom. 120, 389-409 (2022)
We construct a spectral sequence converging to the cohomology with compact support of the m-th contact locus of a complex polynomial. The first page is explicitly described in terms of a log resolution and coincides with the first page of McLean's sp
Externí odkaz:
http://arxiv.org/abs/1911.08213
Autor:
Lê, Quy Thuong, Nguyen, Tat Thang
We study polynomials with complex coefficients which are nondegenerate in two senses, one of Kouchnirenko and the other with respect to its Newton polyhedron, through data on contact loci and motivic nearby cycles. Introducing an explicit description
Externí odkaz:
http://arxiv.org/abs/1903.07262
Autor:
Lê, Quy Thuong, Nguyen, Hong Duc
Publikováno v:
Math. Ann. 376 (2020), 1195-1223
We develop the Denef-Loeser motivic integration to the equivariant motivic integration and use it to prove the full integral identity conjecture for regular functions.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/1802.02377