Local zeta function for nondegenerate homogeneous mappings

• Autores: W.A. Zuniga-Galindo
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 218, Nº 1, 2005, págs. 187-200
• Idioma: inglés
• DOI: 10.2140/pjm.2005.218.187
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• Resumen

  • 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.