Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin
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| Autore: |
Youssin Boris <1959->
|
| Titolo: |
Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| ©1990 | |
| Descrizione fisica: | 1 online resource (109 p.) |
| Disciplina: | 510 s |
| Soggetto topico: | Polyhedral functions |
| Filters (Mathematics) | |
| Rings (Algebra) | |
| Ideals (Algebra) | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters. |
| Nota di contenuto: | ""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 problems""""Appendices""; ""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. 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""; ""References"" | |
| Titolo autorizzato: | Newton polyhedra without coordinates |
| ISBN: | 1-4704-0856-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910828759803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 87, Number 433.