Arithmetic of diagonal hypersurfaces over finite fields:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1995
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society lecture note series
209 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 169 S. |
| ISBN: | 0521498341 |
Staff View
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| 245 | 1 | 0 | |a Arithmetic of diagonal hypersurfaces over finite fields |c Fernando Q. Gouvêa ; Noriko Yui |
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Record in the Search Index
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| adam_text | Contents
Acknowledgments vii
Notation and conventions ix
Introduction 1
1 Twisted Jacobi sums 11
2 Cohomology groups of V = V™(c) 25
3 Twisted Fermat motives 29
4 The inductive structure and the Hodge and
Newton polygons 39
5 Twisting and the Picard number 51
6 Brauer numbers of twisted Fermat motives 61
7 Evaluating Q(V, T) at T = q~r 77
8 The Lichtenbaum—Milne conjecture 83
9 Remarks, observations and open problems 91
9.1 The case of composite m 91
9.2 The plus norms 95
9.3 Further questions 96
A Tables 99
A.I A note on the computations 99
A.2 Twisted Fermat motives and their invariants 100
A.3 Picard numbers of V = V™(c) 104
A.4 Brauer numbers of twisted Fermat motives 122
A.5 Global Brauer numbers of V = V™(c) 126
v
vi Contents
B How to compute the stable Picard number
when m is prime 159
Bibliography 163
Index 167
|
| any_adam_object | 1 |
| author | Gouvêa, Fernando Q. 1957- Yui, Noriko |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV010221974 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:44Z |
| institution | BVB |
| isbn | 0521498341 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006793418 |
| oclc_num | 832235208 |
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| owner_facet | DE-384 DE-12 DE-29T DE-355 DE-BY-UBR DE-703 DE-11 |
| physical | XI, 169 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Gouvêa, Fernando Q. 1957- Verfasser (DE-588)111808863 aut Arithmetic of diagonal hypersurfaces over finite fields Fernando Q. Gouvêa ; Noriko Yui 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1995 XI, 169 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 209 Hyperfläche (DE-588)4161054-4 gnd rswk-swf Galois-Feld (DE-588)4155896-0 gnd rswk-swf Hyperfläche (DE-588)4161054-4 s Galois-Feld (DE-588)4155896-0 s DE-604 Yui, Noriko Verfasser (DE-588)117727296 aut London Mathematical Society: London Mathematical Society lecture note series 209 (DE-604)BV000000130 209 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gouvêa, Fernando Q. 1957- Yui, Noriko Arithmetic of diagonal hypersurfaces over finite fields London Mathematical Society: London Mathematical Society lecture note series Hyperfläche (DE-588)4161054-4 gnd Galois-Feld (DE-588)4155896-0 gnd |
| subject_GND | (DE-588)4161054-4 (DE-588)4155896-0 |
| title | Arithmetic of diagonal hypersurfaces over finite fields |
| title_auth | Arithmetic of diagonal hypersurfaces over finite fields |
| title_exact_search | Arithmetic of diagonal hypersurfaces over finite fields |
| title_full | Arithmetic of diagonal hypersurfaces over finite fields Fernando Q. Gouvêa ; Noriko Yui |
| title_fullStr | Arithmetic of diagonal hypersurfaces over finite fields Fernando Q. Gouvêa ; Noriko Yui |
| title_full_unstemmed | Arithmetic of diagonal hypersurfaces over finite fields Fernando Q. Gouvêa ; Noriko Yui |
| title_short | Arithmetic of diagonal hypersurfaces over finite fields |
| title_sort | arithmetic of diagonal hypersurfaces over finite fields |
| topic | Hyperfläche (DE-588)4161054-4 gnd Galois-Feld (DE-588)4155896-0 gnd |
| topic_facet | Hyperfläche Galois-Feld |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
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