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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Igusa’s local zeta functions of semiquasihomogeneous polynomials
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by W. A. Zúñiga-Galindo PDF
Trans. Amer. Math. Soc. 353 (2001), 3193-3207 Request permission

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 Néron $\pi$-desingularization.
References
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Additional Information
  • W. A. Zúñiga-Galindo
  • Affiliation: Universidad Autónoma de Bucaramanga, Laboratorio de Computo Especializado, A.A. 1642, Bucaramanga, Colombia
  • Address at time of publication: 6351 SW 43rd Street, Miami, Florida 33155
  • Email: wzuniga@bumanga.unab.edu.co
  • Received by editor(s): June 3, 1997
  • Received by editor(s) in revised form: May 16, 2000
  • Published electronically: April 11, 2001
  • Additional Notes: This work was supported by COLCIENCIAS, contract #063-98
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 3193-3207
  • MSC (2000): Primary 11D79, 11S40, 14G10
  • DOI: https://doi.org/10.1090/S0002-9947-01-02323-6
  • MathSciNet review: 1608309