03269nam 2200613 450 991078887450332120180613001300.01-4704-0856-2(CKB)3360000000464617(EBL)3113843(SSID)ssj0000973386(PQKBManifestationID)11630557(PQKBTitleCode)TC0000973386(PQKBWorkID)10959327(PQKB)10336454(MiAaPQ)EBC3113843(RPAM)1051149(PPN)195413164(EXLCZ)99336000000046461720140905h19901990 uy 0engur|n|---|||||txtccrNewton polyhedra without coordinates Newton polyhedra of ideals /Boris YoussinProvidence, Rhode Island :American Mathematical Society,1990.©19901 online resource (109 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 87, Number 433Description based upon print version of record.0-8218-2495-3 Includes bibliographical references at the end of each chapters.""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""Memoirs of the American Mathematical Society ;Volume 87, Number 433.Polyhedral functionsFilters (Mathematics)Rings (Algebra)Ideals (Algebra)Polyhedral functions.Filters (Mathematics)Rings (Algebra)Ideals (Algebra)510 sYoussin Boris1959-1486187MiAaPQMiAaPQMiAaPQBOOK9910788874503321Newton polyhedra without coordinates3705615UNINA