Igusa's local zeta functions of semiquasihomogeneous polynomials

Details Igusa's local zeta functions of semiquasihomogeneous polynomials Igusa's local zeta functions of semiquasihomogeneous polynomials

1999-09-30

arxiv.org/abs/math/9909184v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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