Lectures on elliptic curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1991
|
| Schriftenreihe: | London Mathematical Society student texts
24 |
| Schlagworte: | |
| Online-Zugang: | UBR01 Volltext |
| Beschreibung: | Includes bibliographical references (p. [135]) and index 1 - Curves of genus 0. Introduction - 3 -- - 2 - p-adic numbers - 6 -- - 3 - Local-global principle for conics - 13 -- - 4 - Geometry of numbers - 17 -- - 5 - Local-global principle. Conclusion of proof - 20 -- - 6 - Cubic curves - 23 -- - 7 - Non-singular cubics. The group law - 27 -- - 8 - Elliptic curves. Canonical form - 32 -- - 9 - Degenerate laws - 39 -- - 10 - Reduction - 42 -- - 11 - P-adic case - 46 -- - 12 - Global torsion - 50 -- - 13 - Finite basis theorem. Strategy and comments - 54 -- - 14 - A 2-isogeny - 58 -- - 15 - Weak finite basis theory - 66 -- - 16 - Remedial mathematics. Resultants - 75 -- - 17 - Heights. Finite basis Theorem - 78 -- - 18 - Local-global for genus 1 - 85 -- - 19 - Elements of Galois cohomology - 89 -- - 20 - Construction of the jacobian - 92 -- - 21 - Some abstract nonsense - 98 -- - 22 - Principal homogeneous spaces and Galois cohomology - 104 -- - 23 - Tate-Shafarevich group - 108 -- - 24 - Endomorphism group - 114 -- - 25 - Points over finite fields - 118 -- - 26 - Factorizing using elliptic curves - 124 |
| Beschreibung: | 1 Online-Ressource (vi, 137 p.) |
| ISBN: | 9781107088290 1107088291 0521415179 9780521415170 0521425301 9780521425308 9781139172530 1139172530 |
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Datensatz im Suchindex
| _version_ | 1804175430252494848 |
|---|---|
| any_adam_object | |
| author | Cassels, J. W. S., (John William Scott) |
| author_facet | Cassels, J. W. S., (John William Scott) |
| author_role | aut |
| author_sort | Cassels, J. W. S., (John William Scott) |
| author_variant | j w s j w s c jwsjws jwsjwsc |
| building | Verbundindex |
| bvnumber | BV043057599 |
| collection | ZDB-4-EBA ZDB-20-CBO |
| ctrlnum | (OCoLC)852899209 (DE-599)BVBBV043057599 |
| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043057599 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:10Z |
| institution | BVB |
| isbn | 9781107088290 1107088291 0521415179 9780521415170 0521425301 9780521425308 9781139172530 1139172530 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028481791 |
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| owner_facet | DE-1046 DE-1047 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (vi, 137 p.) |
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| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society student texts |
| spelling | Cassels, J. W. S., (John William Scott) Verfasser aut Lectures on elliptic curves J.W.S. Cassels Cambridge Cambridge University Press 1991 1 Online-Ressource (vi, 137 p.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 24 Includes bibliographical references (p. [135]) and index 1 - Curves of genus 0. Introduction - 3 -- - 2 - p-adic numbers - 6 -- - 3 - Local-global principle for conics - 13 -- - 4 - Geometry of numbers - 17 -- - 5 - Local-global principle. Conclusion of proof - 20 -- - 6 - Cubic curves - 23 -- - 7 - Non-singular cubics. The group law - 27 -- - 8 - Elliptic curves. Canonical form - 32 -- - 9 - Degenerate laws - 39 -- - 10 - Reduction - 42 -- - 11 - P-adic case - 46 -- - 12 - Global torsion - 50 -- - 13 - Finite basis theorem. Strategy and comments - 54 -- - 14 - A 2-isogeny - 58 -- - 15 - Weak finite basis theory - 66 -- - 16 - Remedial mathematics. Resultants - 75 -- - 17 - Heights. Finite basis Theorem - 78 -- - 18 - Local-global for genus 1 - 85 -- - 19 - Elements of Galois cohomology - 89 -- - 20 - Construction of the jacobian - 92 -- - 21 - Some abstract nonsense - 98 -- - 22 - Principal homogeneous spaces and Galois cohomology - 104 -- - 23 - Tate-Shafarevich group - 108 -- - 24 - Endomorphism group - 114 -- - 25 - Points over finite fields - 118 -- - 26 - Factorizing using elliptic curves - 124 géométrie nombres théorie nombre équation diophantienne courbe elliptique Elliptische functies gtt Courbes elliptiques ram Diophantische Gleichung swd Elliptische Kurve swd MATHEMATICS / Geometry / Algebraic bisacsh Curves, Elliptic fast Curves, Elliptic Diophantische Gleichung (DE-588)4012386-8 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 s Diophantische Gleichung (DE-588)4012386-8 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=570389 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cassels, J. W. S., (John William Scott) Lectures on elliptic curves géométrie nombres théorie nombre équation diophantienne courbe elliptique Elliptische functies gtt Courbes elliptiques ram Diophantische Gleichung swd Elliptische Kurve swd MATHEMATICS / Geometry / Algebraic bisacsh Curves, Elliptic fast Curves, Elliptic Diophantische Gleichung (DE-588)4012386-8 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| subject_GND | (DE-588)4012386-8 (DE-588)4014487-2 |
| title | Lectures on elliptic curves |
| title_auth | Lectures on elliptic curves |
| title_exact_search | Lectures on elliptic curves |
| title_full | Lectures on elliptic curves J.W.S. Cassels |
| title_fullStr | Lectures on elliptic curves J.W.S. Cassels |
| title_full_unstemmed | Lectures on elliptic curves J.W.S. Cassels |
| title_short | Lectures on elliptic curves |
| title_sort | lectures on elliptic curves |
| topic | géométrie nombres théorie nombre équation diophantienne courbe elliptique Elliptische functies gtt Courbes elliptiques ram Diophantische Gleichung swd Elliptische Kurve swd MATHEMATICS / Geometry / Algebraic bisacsh Curves, Elliptic fast Curves, Elliptic Diophantische Gleichung (DE-588)4012386-8 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| topic_facet | géométrie nombres théorie nombre équation diophantienne courbe elliptique Elliptische functies Courbes elliptiques Diophantische Gleichung Elliptische Kurve MATHEMATICS / Geometry / Algebraic Curves, Elliptic |
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