𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Tate Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction I

✍ Scribed by Masato Kurihara


Publisher
Springer-Verlag
Year
2002
Tongue
English
Weight
272 KB
Volume
149
Category
Article
ISSN
0020-9910

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the variation of Tate–Shafarevich gro
✍ Mihran Papikian πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 368 KB

Let E be an elliptic curve over ] be an irreducible polynomial of odd degree, and let K =F ( √ d). Assume (p) remains prime in K. We prove the analogue of the formula of Gross for the special value L(EβŠ— F K, 1). As a consequence, we obtain a formula for the order of the Tate-Shafarevich group I(E/K