Igusa's local zeta functions of semiquasihomogeneous polynomials

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 K. The proof of this result is based on Igusa's stationary phase formula and some ideas on Neron p-desingularization.

arXiv comment19 pages, AMSTex, to appear in Trans. Amer. Math. Minor grammatical changes