Algebraic patching:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2011
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XXII, 290 S. 24 cm |
| ISBN: | 9783642151279 |
Internformat
MARC
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| 245 | 1 | 0 | |a Algebraic patching |c Moshe Jarden |
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| 300 | |a XXII, 290 S. |c 24 cm | ||
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Datensatz im Suchindex
| _version_ | 1806326551832166400 |
|---|---|
| adam_text |
IMAGE 1
TABLE OF CONTENTS
CHAPTER 1. ALGEBRAIC PATCHING 1
1.1 PATCHING 1
1.2 GALOIS ACTION ON PATCHING DATA 5
1.3 THE COMPOUND OF THE PATCHING DATA 7
NOTES 9
CHAPTER 2. NORMED RINGS 10
2.1 NORMED RINGS 10
2.2 RINGS OF CONVERGENT POWER SERIES 14
2.3 PROPERTIES OF THE RING K{X} 17
2.4 CONVERGENT POWER SERIES 21
2.5 THE REGULARITY OF K{(X))/K({X)) 0 25
NOTES 29
CHAPTER 3. SEVERAL VARIABLES 31
3.1 A NORMED SUBRING OF K(X) 31
3.2 MITAGG-LEFFLER SERIES 33
3.3 FIELDS OF MITAGG-LEFFLER SERIES 37
3.4 FACTORIZATION OF MATRICES OVER COMPLETE RINGS 39
NOTES 41
CHAPTER 4. CONSTANT SPLIT EMBEDDING PROBLEMS OVER COMPLETE FIELDS 43 4.1
TAME REALIZATION OF CYCLIC GROUPS OVER K(X) 43
4.2 REALIZATION OF CYCLIC GROUPS OF ORDER P K 47
4.3 RATIONAL REALIZATION OF CYCLIC GROUPS OVER COMPLETE FIELDS . . 52
4.4 SOLUTION OF EMBEDDING PROBLEMS 55
NOTES 59
CHAPTER 5. AMPLE FIELDS 61
5.1 VARIETIES 61
5.2 EXISTENTIALLY CLOSED EXTENSIONS 64
5.3 AMPLE FIELDS 67
5.4 MANY POINTS 69
5.5 ALGEBRAIC EXTENSIONS 72
5.6 EXAMPLES OF AMPLE FIELDS 73
5.7 HENSELIAN PAIRS 76
5.8 FIELDS WITH PRO-P ABSOLUTE GALOIS GROUPS 81
5.9 EMBEDDING PROBLEMS OVER AMPLE FIELDS 84
5.10 PAC HILBERTIAN FIELDS ARE W-FREE 89
5.11 KRULL DOMAINS 92
5.12 LIFTING 93
NOTES 95
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/100440980X
DIGITALISIERT DURCH
IMAGE 2
VIII TABLE OF CONTENTS
CHAPTER 6. NON-AMPLE FIELDS 98
6.1 NONAMPLE FIELDS - ELEMENTARY METHODS 98
6.2 NONAMPLE FIELDS - ADVANCED METHODS 104
6.3 ABELIAN VARIETIES AND JACOBIAN VARIETIES 105
6.4 THE MORDELL-LANG CONJECTURE 108
6.5 CONSEQUENCES OF THE MORDELL-LANG CONJECTURE 110
6.6 ON THE GONALITY OF A FUNCTION FIELD OF ONE VARIABLE 114
6.7 GONALITY UNDER CONSTANT REDUCTION 119
6.8 POINTS OF DEGREE D 122
NOTES 127
CHAPTER 7. SPLIT EMBEDDING PROBLEMS OVER COMPLETE FIELDS 129 7.1 TOTAL
DECOMPOSITION 129
7.2 RAMIFICATION 131
7.3 SOLUTION OF EMBEDDING PROBLEMS OVER COMPLETE FIELDS . . . 135 7.4
LINEARLY DISJOINT SOLUTIONS 138
NOTES 140
CHAPTER 8. SPLIT EMBEDDING PROBLEMS OVER AMPLE FIELDS 142
8.1 NORMAL REDUCTION 142
8.2 INERTIA GROUPS 145
8.3 ALMOST ALL REDUCTIONS 151
8.4 EMBEDDING PROBLEMS UNDER EXISTENTIALLY CLOSED EXTENSIONS . . 153 8.5
THE TRANSCENDENCE DEGREE OF THE FIELD OF FORMAL POWER SERIES . 157 8.6
SOLUTION OF EMBEDDING PROBLEMS OVER AMPLE FIELDS 159 NOTES 163
CHAPTER 9. THE ABSOLUTE GALOIS GROUP OF C(I) 164
9.1 THE FUNDAMENTAL GROUP OF A RIEMANN SURFACE 165
9.2 FUNDAMENTAL GROUPS IN POSITIVE CHARACTERISTIC 172
9.3 COHOMOLOGY OF GROUPS 175
9.4 THE PROJECTIVITY OF GAL(C(I)) 183
9.5 PROJECTIVITY OF FUNDAMENTAL GROUPS 186
9.6 MAXIMAL UNRAMIFIED EXTENSIONS 193
9.7 EMBEDDING PROBLEMS WITH GIVEN BRANCHING 195
9.8 DESCENT 199
9.9 FUNDAMENTAL GROUPS WITH S FINITE 202
NOTES 205
CHAPTER 10. SEMI-FREE PROFINITE GROUPS 207
10.1 INDEPENDENT SUBGROUPS 207
10.2 FIBER PRODUCTS 213
10.3 TWISTED WREATH PRODUCTS 215
10.4 CLOSED SUBGROUPS OF SEMI-FREE PROFINITE GROUPS 220
10.5 THE DIAMOND THEOREM 222
IMAGE 3
TABLE OF CONTENTS IX
10.6 QUASI-FREE PROFINITE GROUPS 227
NOTES 231
CHAPTER 11. FUNCTION FIELDS OF ONE VARIABLE OVER PAC FIELDS . . . 233
11.1 HENSELIAN FIELDS 233
11.2 BRAUER GROUPS OF HENSELIAN FIELDS 235
11.3 LOCAL-GLOBAL THEOREMS FOR BRAUER GROUPS 238
11.4 PICARD GROUPS 240
11.5 FIELDS OF COHOMOLOGICAL DIMENSION AT MOST 1 244
11.6 RADICAL EXTENSIONS 246
11.7 SEMI-FREE ABSOLUTE GALOIS GROUPS 248
NOTES 251
CHAPTER 12. COMPLETE NOETHERIAN DOMAINS 252
12.1 PERSEVERANCE OF INERTIA GROUPS 252
12.2 KRULL FIELDS 256
12.3 DENSITY OF HUBERT SETS 263
12.4 KRULL HILBERTIAN AMPLE FIELDS 268
NOTES 273
OPEN PROBLEMS 275
REFERENCES 276
GLOSSARY OF NOTATION 285
INDEX 287 |
| any_adam_object | 1 |
| author | Yardēn, Moše 1942- |
| author_GND | (DE-588)122073932 |
| author_facet | Yardēn, Moše 1942- |
| author_role | aut |
| author_sort | Yardēn, Moše 1942- |
| author_variant | m y my |
| building | Verbundindex |
| bvnumber | BV041463590 |
| classification_rvk | SK 180 SK 230 SK 240 |
| ctrlnum | (OCoLC)703884650 (DE-599)DNB100440980X |
| dewey-full | 512.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.3 |
| dewey-search | 512.3 |
| dewey-sort | 3512.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| institution | BVB |
| isbn | 9783642151279 |
| language | English |
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| physical | XXII, 290 S. 24 cm |
| publishDate | 2011 |
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| publishDateSort | 2011 |
| publisher | Springer |
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| series2 | Springer monographs in mathematics |
| spelling | Yardēn, Moše 1942- Verfasser (DE-588)122073932 aut Algebraic patching Moshe Jarden Berlin ; Heidelberg Springer 2011 XXII, 290 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturangaben Proendliche Gruppe (DE-588)4132444-4 gnd rswk-swf Galois-Gruppe (DE-588)4155897-2 gnd rswk-swf Körperarithmetik (DE-588)7735089-3 gnd rswk-swf Körperarithmetik (DE-588)7735089-3 s Galois-Gruppe (DE-588)4155897-2 s Proendliche Gruppe (DE-588)4132444-4 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3513925&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026909885&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yardēn, Moše 1942- Algebraic patching Proendliche Gruppe (DE-588)4132444-4 gnd Galois-Gruppe (DE-588)4155897-2 gnd Körperarithmetik (DE-588)7735089-3 gnd |
| subject_GND | (DE-588)4132444-4 (DE-588)4155897-2 (DE-588)7735089-3 |
| title | Algebraic patching |
| title_auth | Algebraic patching |
| title_exact_search | Algebraic patching |
| title_full | Algebraic patching Moshe Jarden |
| title_fullStr | Algebraic patching Moshe Jarden |
| title_full_unstemmed | Algebraic patching Moshe Jarden |
| title_short | Algebraic patching |
| title_sort | algebraic patching |
| topic | Proendliche Gruppe (DE-588)4132444-4 gnd Galois-Gruppe (DE-588)4155897-2 gnd Körperarithmetik (DE-588)7735089-3 gnd |
| topic_facet | Proendliche Gruppe Galois-Gruppe Körperarithmetik |
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