Arithmetic of diagonal hypersurfaces over finite fields /:
There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, w...
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1995.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
209. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results. |
| Beschreibung: | 1 online resource (xi, 169 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 163-166) and index. |
| ISBN: | 9781107362239 1107362237 9780511526060 0511526067 |
Internformat
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| 505 | 0 | |a 1. Twisted Jacobi sums -- 2. Cohomology groups of V = V[actual symbol not reproducible](c) -- 3. Twisted Fermat motives -- 4. The inductive structure and the Hodge and Newton polygons -- 5. Twisting and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q[superscript -r] -- 8. The Lichtenbaum-Milne conjecture -- 9. Remarks, observations and open problems -- B How to compute the stable Picard number when m is prime. | |
| 520 | |a There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results. | ||
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| author | Gouvêa, Fernando Q. (Fernando Quadros) |
| author2 | Yui, Noriko |
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| contents | 1. Twisted Jacobi sums -- 2. Cohomology groups of V = V[actual symbol not reproducible](c) -- 3. Twisted Fermat motives -- 4. The inductive structure and the Hodge and Newton polygons -- 5. Twisting and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q[superscript -r] -- 8. The Lichtenbaum-Milne conjecture -- 9. Remarks, observations and open problems -- B How to compute the stable Picard number when m is prime. |
| ctrlnum | (OCoLC)836864184 |
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| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/53 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-10-25T16:21:21Z |
| institution | BVB |
| isbn | 9781107362239 1107362237 9780511526060 0511526067 |
| language | English |
| oclc_num | 836864184 |
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| spelling | Gouvêa, Fernando Q. (Fernando Quadros) https://id.oclc.org/worldcat/entity/E39PBJdGRqhFFCqbVB4rv7FFrq http://id.loc.gov/authorities/names/nr89016505 Arithmetic of diagonal hypersurfaces over finite fields / Fernando Q. Gouvêa, Noriko Yui. Cambridge ; New York : Cambridge University Press, 1995. 1 online resource (xi, 169 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 209 Includes bibliographical references (pages 163-166) and index. 1. Twisted Jacobi sums -- 2. Cohomology groups of V = V[actual symbol not reproducible](c) -- 3. Twisted Fermat motives -- 4. The inductive structure and the Hodge and Newton polygons -- 5. Twisting and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q[superscript -r] -- 8. The Lichtenbaum-Milne conjecture -- 9. Remarks, observations and open problems -- B How to compute the stable Picard number when m is prime. There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results. Print version record. Hypersurfaces. http://id.loc.gov/authorities/subjects/sh85063722 Finite fields (Algebra) http://id.loc.gov/authorities/subjects/sh85048351 Hypersurfaces. Corps finis. MATHEMATICS Geometry Algebraic. bisacsh Finite fields (Algebra) fast Hypersurfaces fast Galois-Feld gnd http://d-nb.info/gnd/4155896-0 Hyperfläche gnd http://d-nb.info/gnd/4161054-4 Hypervlakken. gtt Hypersurfaces. ram Corps finis. ram Yui, Noriko. has work: Arithmetic of diagonal hypersurfaces over finite fields (Text) https://id.oclc.org/worldcat/entity/E39PCGTgQXdT4kMffbMQdRjvjK https://id.oclc.org/worldcat/ontology/hasWork Print version: Gouvêa, Fernando Q. (Fernando Quadros). Arithmetic of diagonal hypersurfaces over finite fields. Cambridge ; New York : Cambridge University Press, 1995 0521498341 (DLC) 94023790 (OCoLC)31518624 London Mathematical Society lecture note series ; 209. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552441 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552441 Volltext |
| spellingShingle | Gouvêa, Fernando Q. (Fernando Quadros) Arithmetic of diagonal hypersurfaces over finite fields / London Mathematical Society lecture note series ; 1. Twisted Jacobi sums -- 2. Cohomology groups of V = V[actual symbol not reproducible](c) -- 3. Twisted Fermat motives -- 4. The inductive structure and the Hodge and Newton polygons -- 5. Twisting and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q[superscript -r] -- 8. The Lichtenbaum-Milne conjecture -- 9. Remarks, observations and open problems -- B How to compute the stable Picard number when m is prime. Hypersurfaces. http://id.loc.gov/authorities/subjects/sh85063722 Finite fields (Algebra) http://id.loc.gov/authorities/subjects/sh85048351 Hypersurfaces. Corps finis. MATHEMATICS Geometry Algebraic. bisacsh Finite fields (Algebra) fast Hypersurfaces fast Galois-Feld gnd http://d-nb.info/gnd/4155896-0 Hyperfläche gnd http://d-nb.info/gnd/4161054-4 Hypervlakken. gtt Hypersurfaces. ram Corps finis. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85063722 http://id.loc.gov/authorities/subjects/sh85048351 http://d-nb.info/gnd/4155896-0 http://d-nb.info/gnd/4161054-4 |
| 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 | Hypersurfaces. http://id.loc.gov/authorities/subjects/sh85063722 Finite fields (Algebra) http://id.loc.gov/authorities/subjects/sh85048351 Hypersurfaces. Corps finis. MATHEMATICS Geometry Algebraic. bisacsh Finite fields (Algebra) fast Hypersurfaces fast Galois-Feld gnd http://d-nb.info/gnd/4155896-0 Hyperfläche gnd http://d-nb.info/gnd/4161054-4 Hypervlakken. gtt Hypersurfaces. ram Corps finis. ram |
| topic_facet | Hypersurfaces. Finite fields (Algebra) Corps finis. MATHEMATICS Geometry Algebraic. Hypersurfaces Galois-Feld Hyperfläche Hypervlakken. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552441 |
| work_keys_str_mv | AT gouveafernandoq arithmeticofdiagonalhypersurfacesoverfinitefields AT yuinoriko arithmeticofdiagonalhypersurfacesoverfinitefields |