Algebraic K-groups as Galois modules:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2002
|
| Schriftenreihe: | Progress in mathematics
206 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009689693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 297 - 306 |
| Umfang: | X, 309 S. 24 cm |
| ISBN: | 3764367172 |
Internformat
MARC
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| 245 | 1 | 0 | |a Algebraic K-groups as Galois modules |c Victor P. Snaith |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2002 | |
| 300 | |a X, 309 S. |b 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 206 | |
| 500 | |a Literaturverz. S. 297 - 306 | ||
| 650 | 4 | |a Fonctions L | |
| 650 | 4 | |a Invariants | |
| 650 | 4 | |a K-groupes | |
| 650 | 4 | |a K-théorie | |
| 650 | 4 | |a Modules galoisiens | |
| 650 | 4 | |a Galois modules (Algebra) | |
| 650 | 4 | |a Invariants | |
| 650 | 4 | |a K-theory | |
| 650 | 4 | |a L-functions | |
| 650 | 4 | |a k-groups | |
| 650 | 0 | 7 | |a K-Gruppe |0 (DE-588)4385841-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Galois-Modul |0 (DE-588)4155898-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a K-Gruppe |0 (DE-588)4385841-7 |D s |
| 689 | 0 | 1 | |a Galois-Modul |0 (DE-588)4155898-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Progress in mathematics |v 206 |w (DE-604)BV000004120 |9 206 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009689693 | |
Datensatz im Suchindex
| _version_ | 1819296894984126464 |
|---|---|
| adam_text | Contents
Preface vii
1 Galois Actions and L values
1.1 Analytic prerequisites 1
1.2 The Lichtenbaum conjecture 5
1.3 Examples of Galois structure invariants 6
2 K groups and Class groups
2.1 Low dimensional algebraic K theory 13
2.2 Perfect complexes 19
2.3 Nearly perfect complexes 26
2.4 Higher dimensional algebraic K theory 39
2.5 Describing the class group by representations 44
3 Higher K theory of Local Fields
3.1 Local fundamental classes and K groups 59
3.2 The higher K theory invariants Sls(L/K, 2) 73
3.3 Two dimensional thoughts 77
4 Positive Characteristic
4.1 Q,i(L/K,2) in the tame case 83
4.2 ExtliG(L/if))(F;d,F» 120
4.3 Connections with motivic complexes 146
5 Higher K theory of Algebraic Integers
5.1 Positive etale cohomology 161
5.2 The invariant nn(N/K,3) 168
5.3 A closer look at fii(L/K,3) 180
5.4 Comparing the two definitions 191
5.5 Some calculations 215
5.6 Lifted Galois invariants 218
6 The Wiles unit
6.1 The Iwasawa polynomial 235
6.2 p adic L functions 240
6.3 Determinants and the Wiles unit 245
6.4 Modular forms with coefficients in A[G] 250
vi Contents
7 Annihilators
7.1 K0(Z[G],Q) and annihilate* relations 261
7.2 Conjectures of Brumer, Coates and Sinnott 277
7.3 The radical of the Stickelberger ideal 289
Bibliography 297
Index 307
|
| any_adam_object | 1 |
| author | Snaith, Victor P. 1944- |
| author_GND | (DE-588)108351882 |
| author_facet | Snaith, Victor P. 1944- |
| author_role | aut |
| author_sort | Snaith, Victor P. 1944- |
| author_variant | v p s vp vps |
| building | Verbundindex |
| bvnumber | BV014140373 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.33 |
| callnumber-search | QA612.33 |
| callnumber-sort | QA 3612.33 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)49845673 (DE-599)BVBBV014140373 |
| dewey-full | 512/.66 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.66 |
| dewey-search | 512/.66 |
| dewey-sort | 3512 266 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014140373 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:59:58Z |
| institution | BVB |
| isbn | 3764367172 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009689693 |
| oclc_num | 49845673 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-703 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-703 DE-11 |
| physical | X, 309 S. 24 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spellingShingle | Snaith, Victor P. 1944- Algebraic K-groups as Galois modules Progress in mathematics Fonctions L Invariants K-groupes K-théorie Modules galoisiens Galois modules (Algebra) K-theory L-functions k-groups K-Gruppe (DE-588)4385841-7 gnd Galois-Modul (DE-588)4155898-4 gnd |
| subject_GND | (DE-588)4385841-7 (DE-588)4155898-4 |
| title | Algebraic K-groups as Galois modules |
| title_auth | Algebraic K-groups as Galois modules |
| title_exact_search | Algebraic K-groups as Galois modules |
| title_full | Algebraic K-groups as Galois modules Victor P. Snaith |
| title_fullStr | Algebraic K-groups as Galois modules Victor P. Snaith |
| title_full_unstemmed | Algebraic K-groups as Galois modules Victor P. Snaith |
| title_short | Algebraic K-groups as Galois modules |
| title_sort | algebraic k groups as galois modules |
| topic | Fonctions L Invariants K-groupes K-théorie Modules galoisiens Galois modules (Algebra) K-theory L-functions k-groups K-Gruppe (DE-588)4385841-7 gnd Galois-Modul (DE-588)4155898-4 gnd |
| topic_facet | Fonctions L Invariants K-groupes K-théorie Modules galoisiens Galois modules (Algebra) K-theory L-functions k-groups K-Gruppe Galois-Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009689693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT snaithvictorp algebraickgroupsasgaloismodules |