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Quasi-ordinary power series and their zeta functions


About this Title

Enrique Artal Bartolo, Pierrette Cassou-Noguès, Ignacio Luengo and Alejandro Melle Hernández

Publication: Memoirs of the American Mathematical Society
Publication Year 2005: Volume 178, Number 841
ISBNs: 978-0-8218-3876-1 (print); 978-1-4704-0442-0 (online)
DOI: http://dx.doi.org/10.1090/memo/0841
MathSciNet review: 2172403
MSC (2000): Primary 14B05; Secondary 11S40, 14E15, 32S50

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Table of Contents


Chapters

  • Introduction
  • 1. Motivic integration
  • 2. Generating functions and Newton polyhedra
  • 3. Quasi-ordinary power series
  • 4. Denef-Loeser motivic zeta function under the Newton maps
  • 5. Consequences of the main theorems
  • 6. Monodromy conjecture for quasi-ordinary power series