Projective modules and complete intersections:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | Lecture notes in mathematics
1672 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 113 S. |
| ISBN: | 3540635645 |
Internformat
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| 245 | 1 | 0 | |a Projective modules and complete intersections |c Satya Mandal |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a VIII, 113 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1672 | |
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Datensatz im Suchindex
| _version_ | 1804126044757688320 |
|---|---|
| adam_text | Contents
Preface v
0 Introduction 1
1 Preliminaries 3
1.1 Localization 3
1.2 The Local Global Principle 5
1.3 Homomorphisms of Modules and Flatness 7
1.4 Definition of Projective Modules 9
2 Patching Modules and Other Preliminaries 13
2.1 Fiber Product of Modules 13
2.2 Patching Homorphisms of Modules 16
2.3 Elementary facts about Projective Modules 17
2.4 Modules over Principal Ideal Domains 19
2.5 Vector Bundles and Projective Modules 20
2.6 Some Constructions of Projective Modules 22
3 Extended Modules over Polynomial Rings 25
3.1 Quillens Theorem 25
3.2 Projective Modules over Polynomial Rings 28
3.2.1 The Proof of the Theorem of Horrocks 30
4 Modules over Commutative Rings 35
4.1 The Basic Element Theory 35
4.2 Applications of Eisenbud Evans Theorem 41
4.3 The Modules over Polynomial Rings 47
4.3.1 Eisenbud Evans Conjectures 48
4.3.2 Some Preliminaries from Plumstead s Work 48
4.3.3 The Proofs of Eisenbud Evans Conjectures 55
5 The Theory of Matrices 63
5.1 Preliminaries about Matrices 63
5.2 The Isotopy Subgroup QLn{A) of GLn(A) 67
5.3 The Theorem of Suslin 70
viii CONTENTS
6 Complete Intersections 73
6.1 The Foundations of Complete Intersections 73
6.2 Complete Intersections in Polynomial Rings 79
6.3 The Theorem of Cowsik Nori on Curves 87
7 The Techniques of Lindel 91
7.1 The Bass Quillen Conjecture 91
7.2 The Unimodular Element Theorems 94
7.3 The Action of Transvections 99
Bibliography 111
Index 114
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:11:12Z |
| institution | BVB |
| isbn | 3540635645 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007755413 |
| oclc_num | 246274098 |
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| physical | VIII, 113 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Mandal, Satya 1953- Verfasser (DE-588)115602305 aut Projective modules and complete intersections Satya Mandal Berlin [u.a.] Springer 1997 VIII, 113 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1672 Intersection theory Projective modules (Algebra) Polynomring (DE-588)4175268-5 gnd rswk-swf Projektiver Modul (DE-588)4175892-4 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Vollständiger Durchschnitt (DE-588)4188587-9 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 s Polynomring (DE-588)4175268-5 s Projektiver Modul (DE-588)4175892-4 s Vollständiger Durchschnitt (DE-588)4188587-9 s DE-604 Lecture notes in mathematics 1672 (DE-604)BV000676446 1672 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755413&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mandal, Satya 1953- Projective modules and complete intersections Lecture notes in mathematics Intersection theory Projective modules (Algebra) Polynomring (DE-588)4175268-5 gnd Projektiver Modul (DE-588)4175892-4 gnd Kommutativer Ring (DE-588)4164825-0 gnd Vollständiger Durchschnitt (DE-588)4188587-9 gnd |
| subject_GND | (DE-588)4175268-5 (DE-588)4175892-4 (DE-588)4164825-0 (DE-588)4188587-9 |
| title | Projective modules and complete intersections |
| title_auth | Projective modules and complete intersections |
| title_exact_search | Projective modules and complete intersections |
| title_full | Projective modules and complete intersections Satya Mandal |
| title_fullStr | Projective modules and complete intersections Satya Mandal |
| title_full_unstemmed | Projective modules and complete intersections Satya Mandal |
| title_short | Projective modules and complete intersections |
| title_sort | projective modules and complete intersections |
| topic | Intersection theory Projective modules (Algebra) Polynomring (DE-588)4175268-5 gnd Projektiver Modul (DE-588)4175892-4 gnd Kommutativer Ring (DE-588)4164825-0 gnd Vollständiger Durchschnitt (DE-588)4188587-9 gnd |
| topic_facet | Intersection theory Projective modules (Algebra) Polynomring Projektiver Modul Kommutativer Ring Vollständiger Durchschnitt |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755413&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT mandalsatya projectivemodulesandcompleteintersections |