On the conjectures of Birch and Swinnerton-Dyer in characteristicp>0
โ Scribed by Kazuya Kato; Fabien Trihan
- Publisher
- Springer-Verlag
- Year
- 2003
- Tongue
- English
- Weight
- 591 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0020-9910
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๐ SIMILAR VOLUMES
In this paper, we give examples of elliptic curves for which a positive proportion of the quadratic twists satisfy a weak form of the Birch and Swinnerton Dyer conjecture modulo 3. 1999 Academic Press \*III(E &d รQ) > p c p (E &d รQ) \*E &d (Q) 2 tor + =0. (2)
In this paper, we examine the Iwasawa theory of elliptic cuves E with additive reduction at an odd prime p. By extending Perrin-Riou's theory to certain nonsemistable representations, we are able to convert Kato's zeta-elements into p-adic L-functions. This allows us to deduce the cotorsion of the S