Essays about: "Douglas Molin"

Found 1 essay containing the words Douglas Molin.

  1. 1. Effective quasiparallelogram laws on elliptic curves over number fields

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Douglas Molin; [2021-05-21]
    Keywords : height; elliptic curve; quasiparallelogram law; canonical height; difference bounds;

    Abstract : We introduce the classical theory of heights on projective space and prove explicit quasiparallelogram laws for the ordinary height and the naive height on elliptic curves over number fields with shortWeierstrass equations. As corollaries, we obtain bounds for the differences between the classical heights and the canonical height, similar to the well-known Silverman bounds. READ MORE