Resumen de Local zeta function for nondegenerate homogeneous mappings

W.A. Zuniga-Galindo

• We give an explicit description of the poles of the Igusa local zeta function associated to a polynomial mapping g, in the case in which it is a nondegenerate homogeneous mapping of degree d. The proof uses a generalization of the p-adic stationary phase formula and Néron p-desingularization.