TY  - BOOK
AU  - Youssin,Boris
TI  - Newton polyhedra without coordinates, Newton polydehra of ideals
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470408565 (online)
AV  - QA3QA343 .A57 no. 433
U1  - 510 s515/.983 20
PY  - 1990///
CY  - Providence, R.I., USA
PB  - American Mathematical Society
KW  - Polyhedral functions
KW  - Filters (Mathematics)
KW  - Rings (Algebra)
KW  - Ideals (Algebra)
N1  - "September 1990, volume 87, number 433 (first of 3 numbers)."; Includes bibliographical references (p. 98)."; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0433
UR  - http://dx.doi.org/10.1090/memo/0433
ER  -