Elliptic Curves over Local Fields

  • Dale Husemöller
Part of the Graduate Texts in Mathematics book series (GTM, volume 111)


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).


Elliptic Curve Elliptic Curf Valuation Ring Additive Reduction Good Reduction 
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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Dale Husemöller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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