Weighted expansions for canonical desingularization:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
1982
|
| Series: | Lecture notes in mathematics
910 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 236 Seiten |
| ISBN: | 3540111956 0387111956 |
Staff View
MARC
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Record in the Search Index
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Table of contents
Section Page
Foreword V
Preface 1
§ 1. Notation 3
§ 2. Semigroups 4
§ 3. Strings 5
§ 4. Semigroup strings with restrictions 7
§ 5. Ordered semigroup strings with restrictions 10
§ 6. Strings on rings 11
§ 7. Indeterminate strings 14
§ 8. Indeterminate strings with restrictions 21
§ 9. Restricted degree and order for indeterminate strings . 26
§10. Indexing strings 29
§11. Nets 31
§12. Semigroup nets with restrictions 33
§13. Ordered semigroup nets with restrictions 36
§14. Nets on rings 37
§15. Indeterminate nets 39
§16. Indeterminate nets with restrictions 46
§17. Restricted degree and order for indeterminate nets. . . 53
§18. Prechips 57
§19. Isobars for prechips and Premonic polynomials 59
§20. Substitutions 67
§21. Substitutions with restrictions 73
§22. Coordinate nets and Monic polynomials 82
§23. Graded ring of a ring at an ideal 85
§24. Graded ring of a ring 88
§25. Graded rings at strings and nets and the notions of
separatedness and regularity for strings and nets. . . 90
§26. Inner products and further notions of separatedness
and regularity for strings 104
§27. Inner products and further notions of senaratedness
and regularity for nets 109
§28. Weighted isobars and weighted initial forms 113
§29. Initial forms for regular strings 126
§30. Initial forms for regular strings and nets 150
§31. Protochips and parachips 161
§32. N-support of an indexing string for 2 N : 6 . 162
§33. Prescales 163
§34. Derived prescales 165
§35. Supports of prescales 167
§36. Protoscales 168
§37. Inner products for protoscales 170
§38. Scales and isobars 171
§39. Properties of derived prescales 176
§40. Isobars for derived scales 203
§41. Isobars and initial forms for scales 205
§42. Initial forms for scales and regular nets 214
§43. Isobars for protochips 220
§44. Initial forms for protochips and monic polynomials . . 221
Index of definitions 225
Index of notations 226 |
| any_adam_object | 1 |
| author | Abhyankar, Shreeram Shankar 1930-2012 |
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| discipline | Mathematik |
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| indexdate | 2025-03-12T13:02:53Z |
| institution | BVB |
| isbn | 3540111956 0387111956 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000020308 |
| oclc_num | 8338369 |
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| physical | VII, 236 Seiten |
| psigel | TUB-nveb |
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| spelling | Abhyankar, Shreeram Shankar 1930-2012 (DE-588)119137569 aut Weighted expansions for canonical desingularization Shreeram S. Abhyankar Berlin, [u.a.] Springer 1982 VII, 236 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 910 Applications (Mathématiques) ram Géométrie algébrique ram Singularités (Mathématiques) Singularités (Mathématiques) ram Geometry, Algebraic Mappings (Mathematics) Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Auflösung Mathematik (DE-588)4719099-1 gnd rswk-swf Auflösung von Singularitäten (DE-588)4181537-3 gnd rswk-swf Gewichtete Erweiterung (DE-588)4157271-3 gnd rswk-swf Gewichtete Erweiterung (DE-588)4157271-3 s Auflösung Mathematik (DE-588)4719099-1 s Singularität Mathematik (DE-588)4077459-4 s DE-604 Auflösung von Singularitäten (DE-588)4181537-3 s Erscheint auch als Online-Ausgabe 978-3-540-38992-7 Lecture notes in mathematics 910 (DE-604)BV000676446 910 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000020308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abhyankar, Shreeram Shankar 1930-2012 Weighted expansions for canonical desingularization Lecture notes in mathematics Applications (Mathématiques) ram Géométrie algébrique ram Singularités (Mathématiques) Singularités (Mathématiques) ram Geometry, Algebraic Mappings (Mathematics) Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Auflösung Mathematik (DE-588)4719099-1 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd Gewichtete Erweiterung (DE-588)4157271-3 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4719099-1 (DE-588)4181537-3 (DE-588)4157271-3 |
| title | Weighted expansions for canonical desingularization |
| title_auth | Weighted expansions for canonical desingularization |
| title_exact_search | Weighted expansions for canonical desingularization |
| title_full | Weighted expansions for canonical desingularization Shreeram S. Abhyankar |
| title_fullStr | Weighted expansions for canonical desingularization Shreeram S. Abhyankar |
| title_full_unstemmed | Weighted expansions for canonical desingularization Shreeram S. Abhyankar |
| title_short | Weighted expansions for canonical desingularization |
| title_sort | weighted expansions for canonical desingularization |
| topic | Applications (Mathématiques) ram Géométrie algébrique ram Singularités (Mathématiques) Singularités (Mathématiques) ram Geometry, Algebraic Mappings (Mathematics) Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Auflösung Mathematik (DE-588)4719099-1 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd Gewichtete Erweiterung (DE-588)4157271-3 gnd |
| topic_facet | Applications (Mathématiques) Géométrie algébrique Singularités (Mathématiques) Geometry, Algebraic Mappings (Mathematics) Singularities (Mathematics) Singularität Mathematik Auflösung Mathematik Auflösung von Singularitäten Gewichtete Erweiterung |
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