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The Tamagawa number conjecture for CM elliptic curves

✍ Scribed by Guido Kings

Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
440 KB
Volume
143
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES

On the Tamagawa Number Conjecture for CM
On the Tamagawa Number Conjecture for CM Elliptic Curves Defined Over Q
✍ Francesc Bars πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 206 KB

In this paper we prove, under the assumption that the SouleΒ΄regulator map is injective, that, for all integers k50, the description by the local Tamagawa number conjecture for CM elliptic curves defined over Q, corresponding to the values of their L-functions at k ΓΎ 2, is true.

On the tamagawa number conjecture for he
On the tamagawa number conjecture for hecke characters
✍ Francesc Bars πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 268 KB

## Abstract In this paper, we prove the weak __p__‐part of the Tamagawa number conjecture in all non‐critical cases for the motives associated to Hecke characters of the form $\varphi ^a\overline{\varphi }^b$ where Ο† is the Hecke character of a CM elliptic curve __E__ defined over an imaginary quad

On the equivariant Tamagawa number conje
On the equivariant Tamagawa number conjecture for -extensions of number fields
✍ Tejaswi Navilarekallu πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 243 KB

For a finite Galois extension K/k of number fields, with Galois group G, the equivariant Tamagawa number conjecture of Burns and Flach relates the leading coefficients of Artin L-functions to an element of K 0 (Z[G], R) arising from the Tate sequence. This conjecture is known to be true for certain