Formal groups and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
1978
|
| Schriftenreihe: | Pure and applied mathematics
78 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXII, 573 S. |
| ISBN: | 0123351502 |
Internformat
MARC
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| 245 | 1 | 0 | |a Formal groups and applications |c Michiel Hazewinkel |
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1978 | |
| 300 | |a XXII, 573 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Preface xi
Leitfaden and Indicien xiii
Introduction xvii
Chapter I Methods for Constructing One Dimensional
Formal Groups
1 Definition and Elementary Properties of Formal Groups. Survey of the
Results of Chapter I 1
2 The Functional Equation-Integrality Lemma 8
3 The Formal Group hawsFv(X, Y), FVJX, Y), and Fs (X, Y) 16
4 Some Binomial Coefficient Arithmetic 20
5 A Universal One Dimensional Commutative Formal Group Law 24
6 Most One Dimensional Formal Group Laws Are Commutative 38
7 Honda s Method for Constructing Formal Group Laws 42
8 The Lubin—Tate Formal Group Laws 43
Chapter II Methods for Constructing Higher Dimensional
Formal Group Laws
9 Definitions and Elementary Properties. Survey of the Results of Chapter II 51
10 The Higher Dimensional Functional Equation Lemma 59
11 The Universal ^-Dimensional Commutative Formal Group Laws HV(X, Y) 63
12 Curvilinear Formal Group Laws 68
13 Higher Dimensional Honda Formal Group Laws and Higher
Dimensional Lubin-Tate Formal Group Laws 73
14 Lie Theory 79
E.I Bibliographical and Other Notes 87
Chapter III Curves, p-Typical Formal Group Laws,
and Lots of Witt Vectors
15 Definitions. Survey of Results 91
16 Curves and p-Typical Formal Groups 102
17 Lots of Witt Vectors 115
E.2 Bibliographical and Other Notes 144
vii
Viii CONTENTS
Chapter IV Homomorphisms, Endomorphisms, and the
Classification of Formal Groups by Power Series Methods
18 Definitions and Preliminary Elementary Results. Survey of Chapter IV 147
19 Universal Isomorphisms 162
20 Existence and Nonexistence of Homomorphisms and Isomorphisms 173
21 Formal A -Modules 199
22 Lifting and Reducing Formal Group Laws. Formal Moduli 230
23 Rings of Endomorphisms of Formal Group Laws 245
24 Classification of One Dimensional Formal Group Laws over Finite
Fields 253
25 Rings of Curves and Artin-Hasse-Like Exponential Mappings 269
E.3 Bibliographical and Other Notes 310
Chapter V Cartier-Dieudonne Modules
26 Basic Definitions and Reminders. Survey of the Results of Chapter V 312
27 Cartier-Dieudonne Modules for Formal Group Laws 320
28 On the Classification of Commutative Formal Group Laws over an
Algebraically Closed Field of Characteristic p 0 354
29 Cartier-Dieudonne Theory for Formal A -Modules 374
30 Le Tapis de Cartier for Formal A-Modules, or Lifting Formal Group
Laws and Formal A-Modules Revisited 395
E.4 Bibliographical and Other Notes 422
Chapter VI Applications of Formal Groups in Algebraic
Topology, Number Theory, and Algebraic Geometry
31 Basic Definitions and Survey of the Results of Chapter VI 427
32 Local Class Field Theory 433
33 Zeta Functions of Elliptic Curves over Q and Atkin-Swinnerton-Dyer
Conjectures 441
34 On Complex Cobordism and Brown-Peterson Cohomology 446
35 Tate Modules (for One Dimensional Formal Group Laws) 460
E.5 Bibliographical and Other Notes 475
Chapter VII Formal Groups and Bialgebras
36 Basic Definitions and Survey of the Results of Chapter VII 478
37 Formal Groups and Bialgebras 485
38 Curves in Noncommutative Formal Groups 504
E.6 Bibliographical and Other Notes 514
Appendix A On Power Series Rings
A.I Power Series Rings 517
A.2 Filtration and Topology 518
A.3 Formal Weierstrass Preparation Theorem 519
A.4 Homomorphisms and Isomorphisms. Formal Inverse Function
and Implicit Function Theorems 520
CONTENTS ix
Appendix B Brief Notes on Further Applications
of Formal Group (Law) Theory
B.I More on Formal Groups in Number Theory 523
B.2 More on Formal Groups in Algebraic Geometry 524
B.3 More on Formal Groups in Arithmetical Algebraic Geometry 525
B.4 More on Formal Groups in Algebraic Topology 527
Bibliography 531
Notation 551
Index 567
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-09T15:42:52Z |
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| isbn | 0123351502 |
| language | English |
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| physical | XXII, 573 S. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
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| publisher | Acad. Press |
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| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Hazewinkel, Michiel 1943- Verfasser (DE-588)11518922X aut Formal groups and applications Michiel Hazewinkel New York [u.a.] Acad. Press 1978 XXII, 573 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 78 Formele groepen gtt Groupes formels Toepassingen gtt Formal groups Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Formale Gruppe (DE-588)4154992-2 gnd rswk-swf Formale Gruppe (DE-588)4154992-2 s DE-604 Gruppentheorie (DE-588)4072157-7 s Pure and applied mathematics 78 (DE-604)BV010177228 78 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001482559&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hazewinkel, Michiel 1943- Formal groups and applications Pure and applied mathematics Formele groepen gtt Groupes formels Toepassingen gtt Formal groups Gruppentheorie (DE-588)4072157-7 gnd Formale Gruppe (DE-588)4154992-2 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4154992-2 |
| title | Formal groups and applications |
| title_auth | Formal groups and applications |
| title_exact_search | Formal groups and applications |
| title_full | Formal groups and applications Michiel Hazewinkel |
| title_fullStr | Formal groups and applications Michiel Hazewinkel |
| title_full_unstemmed | Formal groups and applications Michiel Hazewinkel |
| title_short | Formal groups and applications |
| title_sort | formal groups and applications |
| topic | Formele groepen gtt Groupes formels Toepassingen gtt Formal groups Gruppentheorie (DE-588)4072157-7 gnd Formale Gruppe (DE-588)4154992-2 gnd |
| topic_facet | Formele groepen Groupes formels Toepassingen Formal groups Gruppentheorie Formale Gruppe |
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