Journal of Algebraic Geometry

Author(s): Christian Wuthrich
Journal: J. Algebraic Geom. 16 (2007), 83-108.
Posted: June 21, 2006
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Abstract: The fine Selmer group of an elliptic curve

over a number field

is obtained as a subgroup of the usual Selmer group by imposing stronger conditions at places above

. We prove a formula for the Euler-characteristic of the fine Selmer group over a $\mathbb{Z}_p$ -extension and use it to compute explicit examples.

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