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Newton polyhedra without coordinates : Newton polyhedra of ideals /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
1990.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 87, no. 433. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- CONTENTS
- NEWTON POLYHEDRA WITHOUT COORDINATES
- 1. Introduction
- Chapter 1. Integrally closed filtrations
- 2. Definition and examples
- 3. The language of integrally closed subalgebras
- 4. Generators of a filtration
- 5. Join and suspension
- 6. Normal crossing rings and monomials
- 7. Special filtrations and the Main Theorem
- Chapter 2. Contact and stably contact filtrations
- 8. Initial forms and transversality to the normal crossing divisor
- 9. Contact filtrations and their structure
- 10. Galois extensions
- 21. Some unsolved problemsAppendices
- A1. Weights of a quasihomogeneous filtration are independent of the coordinate system
- A2. Criterion for integral closedness
- A3. The structure of suspension
- A4. Multiplication and division by monomials: Proof of the structure theorem
- A5. Suspension of a stably contact filtration is stably contact: Proof of (11.5)
- References
- NEWTON POLYHEDRA OF IDEALS
- 1. Introduction
- 2. Standard bases and the main result
- 3. Differential operators and principal parts
- 4. Generalized Fitting ideals
- 5. Heuristics6. 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
- References