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Record Nr. |
UNINA9910788874503321 |
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Autore |
Youssin Boris <1959-> |
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Titolo |
Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1990 |
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©1990 |
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ISBN |
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Descrizione fisica |
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1 online resource (109 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 87, Number 433 |
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Disciplina |
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Soggetti |
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Polyhedral functions |
Filters (Mathematics) |
Rings (Algebra) |
Ideals (Algebra) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters. |
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Nota di contenuto |
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""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. |
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