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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: https://doi.org/10.1090/memo/0841
MathSciNet review: 2172403
MSC: Primary 14B05; Secondary 11S40, 14E15, 32S50
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