2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79177In 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.19 pages, AMSTex, to appear in Trans. Amer. Math. Minor grammatical changesAlgebraic Geometry11D79, 11S40, 14G10text