English

Igusa's local zeta functions of semiquasihomogeneous polynomials

Algebraic Geometry 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/9909184,
  title  = {Igusa's local zeta functions of semiquasihomogeneous polynomials},
  author = {W. A. Zuniga-Galindo},
  journal= {arXiv preprint arXiv:math/9909184},
  year   = {2007}
}

Comments

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