Generic local structure of the morphisms in commutative algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1973
|
| Schriftenreihe: | Lecture notes in mathematics
310 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 108 S. |
| ISBN: | 3540061371 0387061371 |
Internformat
MARC
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| 100 | 1 | |a Iversen, Birger |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Generic local structure of the morphisms in commutative algebra |c Birger Iversen |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1973 | |
| 300 | |a 108 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 310 | |
| 650 | 4 | |a Algèbre commutative | |
| 650 | 7 | |a Kommutative Algebra |2 swd | |
| 650 | 4 | |a Variétés algébriques | |
| 650 | 4 | |a Algebraic varieties | |
| 650 | 4 | |a Commutative algebra | |
| 830 | 0 | |a Lecture notes in mathematics |v 310 |w (DE-604)BV000676446 |9 310 | |
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Datensatz im Suchindex
| _version_ | 1804117302021455872 |
|---|---|
| adam_text | TABLE OF CONTENTS
INTRODUCTION 1
LEITFADEN 3
Chapter I UNRAfllFIED ly]QRPHISlv]S
1.1 Derivations and differentials 4
1.2 Unramified morphisms 7
1.3 Unramified algebras over a field 11
1.4 Cartier s equality 13
1.5 Separable field extensions 15
1.6 8 and separability 1s
1.7 it of algebras over a field 19
1.8 Geometrically irreducible algebras 21
1.9 Irreducible components and base extension 24
I.C Multiplicative coalgebras 26
Chapter II SMOOTH BORPHISMS
11.1 Smooth functors 33
11.2 Infinitesimal extensions
37
11.3 The [truncated] cotangent complex
39
11.4 Jacobian criterion for smoothness
42
11.5 Cohen s theorem
43
11.6 Smooth localities over a field
46
11.7 Dimension formulas
11.8 Special criterionsfor smooth localities
(Cartier s theorem]
II. Appendix F. Relative finiteness conditions 49
52
II. Appendi-x T. Tangent spaces
Chapter III ETALE MORPHISMS
111.1 Etale morphisms 63
111.2 Local structure theorem 63
111.3 Applications to smooth morphisms 65
111.4 Grothendieck-Hensel Lemma 66
111.5 Henselian local rings 67
111.6 Henselization of a local ring 71
111.7 Newton s method 71
111.8 Etale algebras over a local, normal domain 74
111.9 Local ramification theory 79
III.dO Ramification theory for normal domains 80
(5 .f. = n)
L l l
III.R Topology on rational points 83
Chapter IV SOME FUNDAMENTAL THEOREMS
IV.1 Hilbert s Nullstellensatz 90
IV.2 Zariski s main theorem 33
IV.3 Chevalley s constructibility theorem 96
IV.C The analytic case 99
BIBLIOGRAPHY 103
INDEX OF NOTATIONS 106
INDEX OF SYMBOLS 108
|
| any_adam_object | 1 |
| author | Iversen, Birger |
| author_facet | Iversen, Birger |
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| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)721350556 (DE-599)BVBBV003013206 |
| dewey-full | 512/.24 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.24 510/.8 |
| dewey-search | 512/.24 510/.8 |
| dewey-sort | 3512 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003013206 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:52:14Z |
| institution | BVB |
| isbn | 3540061371 0387061371 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001886332 |
| oclc_num | 721350556 |
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| physical | 108 S. |
| psigel | HUB-ZB011200912 |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Iversen, Birger Verfasser aut Generic local structure of the morphisms in commutative algebra Birger Iversen Berlin [u.a.] Springer 1973 108 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 310 Algèbre commutative Kommutative Algebra swd Variétés algébriques Algebraic varieties Commutative algebra Lecture notes in mathematics 310 (DE-604)BV000676446 310 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001886332&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Iversen, Birger Generic local structure of the morphisms in commutative algebra Lecture notes in mathematics Algèbre commutative Kommutative Algebra swd Variétés algébriques Algebraic varieties Commutative algebra |
| title | Generic local structure of the morphisms in commutative algebra |
| title_auth | Generic local structure of the morphisms in commutative algebra |
| title_exact_search | Generic local structure of the morphisms in commutative algebra |
| title_full | Generic local structure of the morphisms in commutative algebra Birger Iversen |
| title_fullStr | Generic local structure of the morphisms in commutative algebra Birger Iversen |
| title_full_unstemmed | Generic local structure of the morphisms in commutative algebra Birger Iversen |
| title_short | Generic local structure of the morphisms in commutative algebra |
| title_sort | generic local structure of the morphisms in commutative algebra |
| topic | Algèbre commutative Kommutative Algebra swd Variétés algébriques Algebraic varieties Commutative algebra |
| topic_facet | Algèbre commutative Kommutative Algebra Variétés algébriques Algebraic varieties Commutative algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001886332&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT iversenbirger genericlocalstructureofthemorphismsincommutativealgebra |