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Igusa's local zeta functions of semiquasihomogeneous polynomials
Author(s):
W.
A.
Zúñiga-Galindo
Journal:
Trans. Amer. Math. Soc.
353
(2001),
3193-3207.
MSC (2000):
Primary 11D79, 11S40, 14G10
Posted:
April 11, 2001
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Abstract:
In this paper, we prove the rationality of Igusa's local zeta functions of semiquasihomogeneous polynomials with coefficients in a non-archimedean local field  . The proof of this result is based on Igusa's stationary phase formula and some ideas on Néron  -desingularization.
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Additional Information:
W.
A.
Zúñiga-Galindo
Affiliation:
Universidad Autónoma de Bucaramanga, Laboratorio de Computo Especializado, A.A. 1642, Bucaramanga, Colombia
Address at time of publication:
6351 SW 43rd Street, Miami, Florida 33155
Email:
wzuniga@bumanga.unab.edu.co
DOI:
10.1090/S0002-9947-01-02323-6
PII:
S 0002-9947(01)02323-6
Keywords:
Local zeta functions,
semiquasihomogeneous polynomials,
positive characteristic
Received by editor(s):
June 3, 1997
Received by editor(s) in revised form:
May 16, 2000
Posted:
April 11, 2001
Additional Notes:
This work was supported by COLCIENCIAS, contract \#063-98
Copyright of article:
Copyright
2001,
American Mathematical Society
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