|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910828759803321 |
|
|
Autore |
Youssin Boris <1959-> |
|
|
Titolo |
Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 1990 |
|
©1990 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (109 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 87, Number 433 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Polyhedral functions |
Filters (Mathematics) |
Rings (Algebra) |
Ideals (Algebra) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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. |
|
|
|
|