๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the conjectures of Birch and Swinnerton-Dyer in characteristicp>0

โœ Scribed by Kazuya Kato; Fabien Trihan


Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
591 KB
Volume
153
Category
Article
ISSN
0020-9910

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Elliptic Curves Satisfying the Birch and
โœ Kevin James ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 110 KB

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 ร‚Q) > p c p (E &d ร‚Q) \*E &d (Q) 2 tor + =0. (2)

On the p-Adic Birch, Swinnertonโ€“Dyer Con
โœ Daniel Delbourgo ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 363 KB

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