Elliptic Curves over Local Fields
We return to the ideas of Chapter 5 where the torsion in E(Q) was studied using the reduction map E(Q) → Ē(F p ). These local questions are taken up for any complete field K with a discrete valuation where the congruences of 5(4.3) are interpreted using the formal group introduced in Chapter 12, §7. This leads to a more precise version of 5(4.5).
KeywordsElliptic Curve Elliptic Curf Valuation Ring Additive Reduction Good Reduction
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