Number theory and algebraic geometry: to Peter Swinnerton-Dyer on his 75th birthday
Sir Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section revie...
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| Other Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2003
|
| Series: | London Mathematical Society lecture note series
303 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Sir Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano varieties |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (v, 300 pages) |
| ISBN: | 9780511734946 |
| DOI: | 10.1017/CBO9780511734946 |
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| contents | 1. In lieu of birthday greetings J.B. Birch, Jean-Louis Colliot-The;lène, G.K. Sankaran, Miles Reid and Alexei Skorobogatov -- 2. Peter Swinnerton-Dyer's mathematical papers to date -- 3. On the Hasse principle for bielliptic surfaces Carmen Laura Basile and Alexei Skorobogatov -- 4. Effective Diophantine approximation on Gm Enrico Bombieri and Paula B. Cohen -- 5. A Diophantine system Andrew Bremner -- 6. Valeurs d'un polynôme à une variable represente;es par une norme J.-L. Colliot-The;lène, D. Harari and A.N. Skorobogatov -- 7. Constructing elements in Shafarevich-Tate groups of modular motives Neil Dummigan, William Stein and Mark Watkins -- 8. A counterexample to a conjecture of Selmer Tom Fisher -- 9. Linear relations amongst sums of two squares D.R. Heath-Brown -- 10. Kronecker double series and the dilogarithm Andrey Levin -- 11. On Shafarevich-Tate groups and the arithmetic of Fermat curves William G. McCallum and Pavlos Tzermias -- 12. Cascades of projections from the log del Pezzo surfaces Miles Reid and Kaori Suzuki -- 13. On obstructions to the Hasse principle Per Salberger -- 14. Abelian surfaces with odd bilevel structure G.K. Sankaran |
| ctrlnum | (ZDB-20-CBO)CR9780511734946 (OCoLC)850798078 (DE-599)BVBBV043941441 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511734946 |
| format | Electronic eBook |
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| spelling | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday edited by Miles Reid, Alexei Skorobogatov Number Theory & Algebraic Geometry Cambridge Cambridge University Press 2003 1 online resource (v, 300 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 303 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. In lieu of birthday greetings J.B. Birch, Jean-Louis Colliot-The;lène, G.K. Sankaran, Miles Reid and Alexei Skorobogatov -- 2. Peter Swinnerton-Dyer's mathematical papers to date -- 3. On the Hasse principle for bielliptic surfaces Carmen Laura Basile and Alexei Skorobogatov -- 4. Effective Diophantine approximation on Gm Enrico Bombieri and Paula B. Cohen -- 5. A Diophantine system Andrew Bremner -- 6. Valeurs d'un polynôme à une variable represente;es par une norme J.-L. Colliot-The;lène, D. Harari and A.N. Skorobogatov -- 7. Constructing elements in Shafarevich-Tate groups of modular motives Neil Dummigan, William Stein and Mark Watkins -- 8. A counterexample to a conjecture of Selmer Tom Fisher -- 9. Linear relations amongst sums of two squares D.R. Heath-Brown -- 10. Kronecker double series and the dilogarithm Andrey Levin -- 11. On Shafarevich-Tate groups and the arithmetic of Fermat curves William G. McCallum and Pavlos Tzermias -- 12. Cascades of projections from the log del Pezzo surfaces Miles Reid and Kaori Suzuki -- 13. On obstructions to the Hasse principle Per Salberger -- 14. Abelian surfaces with odd bilevel structure G.K. Sankaran Sir Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano varieties Number theory Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)4016928-5 Festschrift gnd-content Zahlentheorie (DE-588)4067277-3 s Algebraische Geometrie (DE-588)4001161-6 s 3\p DE-604 Swinnerton-Dyer, H. P. F. edt Reid, Miles edt Skorobogatov, Alexei 1961- edt Erscheint auch als Druckausgabe 978-0-521-54518-1 https://doi.org/10.1017/CBO9780511734946 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday 1. In lieu of birthday greetings J.B. Birch, Jean-Louis Colliot-The;lène, G.K. Sankaran, Miles Reid and Alexei Skorobogatov -- 2. Peter Swinnerton-Dyer's mathematical papers to date -- 3. On the Hasse principle for bielliptic surfaces Carmen Laura Basile and Alexei Skorobogatov -- 4. Effective Diophantine approximation on Gm Enrico Bombieri and Paula B. Cohen -- 5. A Diophantine system Andrew Bremner -- 6. Valeurs d'un polynôme à une variable represente;es par une norme J.-L. Colliot-The;lène, D. Harari and A.N. Skorobogatov -- 7. Constructing elements in Shafarevich-Tate groups of modular motives Neil Dummigan, William Stein and Mark Watkins -- 8. A counterexample to a conjecture of Selmer Tom Fisher -- 9. Linear relations amongst sums of two squares D.R. Heath-Brown -- 10. Kronecker double series and the dilogarithm Andrey Levin -- 11. On Shafarevich-Tate groups and the arithmetic of Fermat curves William G. McCallum and Pavlos Tzermias -- 12. Cascades of projections from the log del Pezzo surfaces Miles Reid and Kaori Suzuki -- 13. On obstructions to the Hasse principle Per Salberger -- 14. Abelian surfaces with odd bilevel structure G.K. Sankaran Number theory Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4067277-3 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday |
| title_alt | Number Theory & Algebraic Geometry |
| title_auth | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday |
| title_exact_search | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday |
| title_full | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday edited by Miles Reid, Alexei Skorobogatov |
| title_fullStr | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday edited by Miles Reid, Alexei Skorobogatov |
| title_full_unstemmed | Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday edited by Miles Reid, Alexei Skorobogatov |
| title_short | Number theory and algebraic geometry |
| title_sort | number theory and algebraic geometry to peter swinnerton dyer on his 75th birthday |
| title_sub | to Peter Swinnerton-Dyer on his 75th birthday |
| topic | Number theory Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Number theory Geometry, Algebraic Algebraische Geometrie Zahlentheorie Aufsatzsammlung Festschrift |
| url | https://doi.org/10.1017/CBO9780511734946 |
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