Archimedean local height differences on elliptic curvesMüller, J. S. & Stumpe, C., 5-Jul-2019, In : Acta Arithmetica. 190, 3, p. 293-303 11 p.
Research output: Contribution to journal › Article › Academic › peer-review
To compute generators for the Mordell-Weil group of an elliptic curve over a number field, one needs to bound the difference between the naive and the canonical height from above. We give an elementary and fast method to compute an upper bound for the local contribution to this difference at an archimedean place, which often gives better results than previous algorithms.
|Number of pages||11|
|Publication status||Published - 5-Jul-2019|
- CANONICAL HEIGHTS, WEIL HEIGHT, BOUNDS