Formal groups and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS Chelsea Publ.
2012
|
| Edition: | Repr. with corr. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (pages 531-550) and index |
| Physical Description: | XXIV, 573 S. 26 cm |
| ISBN: | 9780821853498 |
Staff View
MARC
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| 020 | |a 9780821853498 |c alk. paper |9 978-0-8218-5349-8 | ||
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| 245 | 1 | 0 | |a Formal groups and applications |c Michiel Hazewinkel |
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| 264 | 1 | |a Providence, RI |b AMS Chelsea Publ. |c 2012 | |
| 300 | |a XXIV, 573 S. |c 26 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 500 | |a Includes bibliographical references (pages 531-550) and index | ||
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Record in the Search Index
| _version_ | 1804151513332842496 |
|---|---|
| adam_text | CONTENTS
Preface to the Corrected Printing
xi
Preface
xiii
Leitfaden
and
Indicien
xv
Introduction
xix
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 Laws F¥(X,
Y), FV¡T(X,
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
Formai
Group Laws Are Commutative
38
7
Honda s Method for Constructing Formal Group Laws
42
8
The Liibin-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
η
-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
Π
5
E.2 Bibliographical and Other Notes
144
vn
VIU
CONTENTS
Chapter IV
Homomorphîsms, Endomorphisms,
and the
Classification of Format 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
Λ
-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-Dieudonné
Modules
26
Basic Definitions and Reminders. Survey of the Results of Chapter V
312
27
Cartier-Dieudonné
Modules for Formal Group Laws
320
28
On the Classification of Commutative Formal Group Laws over an
Algebraically Closed Field of Characteristic
ρ
> 0 354
29
Cartier-Dieudonné
Theory for Formal A-Modules
374
30
Le
Tapis
de Cartier
for Formal
Λ
-Modules, or Lifting Formal Group
Laws and Formal
Λ
-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 B.rown-Peterson Cohotnology
446
35
Tate
Modules (for One Dimensional Formal Group Laws)
460
E.5 Bibliographical and Other Notes
475
Chapter
VII
Format 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
ІХ
Appendix
В
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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| id | DE-604.BV041405486 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:56:01Z |
| institution | BVB |
| isbn | 9780821853498 |
| language | English |
| lccn | 2012028054 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026852894 |
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| owner | DE-11 DE-355 DE-BY-UBR |
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| physical | XXIV, 573 S. 26 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | AMS Chelsea Publ. |
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| spelling | Hazewinkel, Michiel 1943- Verfasser (DE-588)11518922X aut Formal groups and applications Michiel Hazewinkel Repr. with corr. Providence, RI AMS Chelsea Publ. 2012 XXIV, 573 S. 26 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (pages 531-550) and index Formale Gruppe (DE-588)4154992-2 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Formale Gruppe (DE-588)4154992-2 s DE-604 Gruppentheorie (DE-588)4072157-7 s Erscheint auch als Online-Ausgabe 978-0-8218-9400-2 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026852894&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hazewinkel, Michiel 1943- Formal groups and applications Formale Gruppe (DE-588)4154992-2 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4154992-2 (DE-588)4072157-7 |
| 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 | Formale Gruppe (DE-588)4154992-2 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Formale Gruppe Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026852894&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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