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Newton polyhedra of ideals
About this Title
Boris Youssin
Publication: Memoirs of the American Mathematical Society
Publication Year:
1990; Volume 87, Number 433
ISBNs: 978-0-8218-2495-5 (print); 978-1-4704-0856-5 (online)
DOI: https://doi.org/10.1090/memo/0433
MathSciNet review: 1013092
MSC: Primary 32S10; Secondary 14B05, 14M25
Table of Contents
Chapters
- Newton polyhedra without coordinates
- Introduction
- 1. Integrally closed filtrations
- 2. Contact and stably contact filtrations
- 3. The first derived filtration and its structure
- 4. Change of the subring
- Conclusion
- Appendices
- Newton polyhedra of ideals
- 1. Introduction
- 2. Standard bases and the main result
- 3. Differential operators and principal parts
- 4. Generalized Fitting ideals
- 5. Heuristics
- 6. Generic position
- 7. Fitting ideals and filtrations generated by standard bases
- 8. Normalized standard bases
- 9. Proof of the Main Theorem 2.7
- Appendix. Sketch of another proof