| Description |
1 online resource (vi, 137 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
London Mathematical Society student texts ; 24
|
|
London Mathematical Society student texts ; 24.
|
| Bibliography |
Includes bibliographical references (page 135) and index. |
| Contents |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Curves, Elliptic.
|
|
Curves, Elliptic. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Cassels, J.W.S. (John William Scott). Lectures on elliptic curves. Cambridge ; New York : Cambridge University Press, 1991 0521415179 (DLC) 92160903 (OCoLC)25160885 |
| ISBN |
9781107088290 (electronic book) |
|
1107088291 (electronic book) |
|
9781139172530 (electronic book) |
|
1139172530 (electronic book) |
|
0521415179 |
|
9780521415170 |
|
0521425301 |
|
9780521425308 |
|
