Cargando…
Prolegomena to a middlebrow arithmetic of curves of genus 2 /
The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. Included is an explicit treatment of the Jacobian, which throws new light...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1996.
|
| Colección: | London Mathematical Society lecture note series ;
230. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn836848735 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130408s1996 enka ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d E7B |d OCLCO |d OCLCF |d YDXCP |d OCLCQ |d AGLDB |d HEBIS |d OCLCO |d UAB |d OCLCQ |d VTS |d REC |d STF |d M8D |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 797858390 | ||
| 020 | |a 9781107362178 |q (electronic bk.) | ||
| 020 | |a 1107362172 |q (electronic bk.) | ||
| 020 | |z 0521483700 | ||
| 020 | |z 9780521483704 | ||
| 020 | |z 9780511526084 | ||
| 029 | 1 | |a DEBBG |b BV043118275 | |
| 029 | 1 | |a DEBSZ |b 421266805 | |
| 029 | 1 | |a GBVCP |b 804530483 | |
| 035 | |a (OCoLC)836848735 |z (OCoLC)797858390 | ||
| 050 | 4 | |a QA565 |b .C38 1996eb | |
| 072 | 7 | |a MAT |x 012010 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.3/52 |2 22 |
| 084 | |a 31.14 |2 bcl | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Cassels, J. W. S. |q (John William Scott) | |
| 245 | 1 | 0 | |a Prolegomena to a middlebrow arithmetic of curves of genus 2 / |c J.W.S. Cassels, E.V. Flynn. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1996. | ||
| 300 | |a 1 online resource (xiv, 218 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 230 | |
| 504 | |a Includes bibliographical references (pages 207-218) and index. | ||
| 505 | 0 | |a Ch. 1. Curves of genus 2 -- Ch. 2. Construction of the jacobian -- Ch. 3. The Kummer surface -- Ch. 4. The dual of the Kummer -- Ch. 5. Weddle's surface -- Ch. 6. [actual symbol not reproducible] -- Ch. 7. The jacobian over local fields. Formal groups -- Ch. 8. Torsion -- Ch. 9. The isogeny. Theory -- Ch. 10. The isogeny. Applications -- Ch. 11. Computing the Mordell-Weil group -- Ch. 12. Heights -- Ch. 13. Rational points. Chabauty's Theorem -- Ch. 14. Reducible jacobians -- Ch. 15. The endomorphism ring -- Ch. 16. The desingularized Kummer -- Ch. 17. A neoclassical approach -- Ch. 18. Zukunftsmusik -- Appendix I. MAPLE programs -- Appendix II. Files available by anonymous ftp. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. Included is an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. The Mordell-Weil group can then be determined for many curves, and in many non-trivial cases all rational points can be found. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not assumed in the main text. Number theorists, algebraic geometers and workers in related areas will find that this book offers unique insights into the arithmetic of curves of genus 2. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Curves, Algebraic. | |
| 650 | 6 | |a Courbes algébriques. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Curves, Algebraic |2 fast | |
| 650 | 7 | |a Arithmetik |2 gnd | |
| 650 | 7 | |a Algebraische Kurve |2 gnd | |
| 650 | 7 | |a Geschlecht |g Mathematik |2 gnd | |
| 650 | 1 | 7 | |a Algebraïsche krommen. |2 gtt |
| 650 | 1 | 7 | |a Rekenkunde. |2 gtt |
| 650 | 7 | |a Courbes algébriques. |2 ram | |
| 650 | 7 | |a Géométrie algébrique. |2 ram | |
| 700 | 1 | |a Flynn, E. V. | |
| 776 | 0 | 8 | |i Print version: |a Cassels, J.W.S. (John William Scott). |t Prolegomena to a middlebrow arithmetic of curves of genus 2. |d Cambridge ; New York : Cambridge University Press, 1996 |z 0521483700 |w (DLC) 96011647 |w (OCoLC)34354795 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 230. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552444 |z Texto completo |
| 938 | |a ebrary |b EBRY |n ebr10560820 | ||
| 938 | |a EBSCOhost |b EBSC |n 552444 | ||
| 938 | |a YBP Library Services |b YANK |n 10405642 | ||
| 994 | |a 92 |b IZTAP | ||