Newton polyhedra without coordinates: Newton polyhedra of ideals
Title Statements
- Full title :Newton polyhedra without coordinates : Newton polyhedra of ideals / Boris Youssin.
Edition Statements
- Publication Date:©1990
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©1990
The Physical Object
- Description:1 online resource (109 pages)
Edition Identifiers
- ISBN:9781470408565, 1470408562
- oclc:ocn891384001
- LC Classification:QA3
- Dewey Decimal:510 s
Table of Contents
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. Norma…
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