Abstract
We extend Davenport's inequality to general elliptic curves over (t) written in Weierstrass forms. The obtained result is an effective version of a result by Voloch, and also improves a bound given by Hindry-Silverman. The method depends on an explicit calculation of the Čech cohomology of sheaves of differentials on an elliptic surface.
Original language | English |
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Pages (from-to) | 591-618 |
Number of pages | 28 |
Journal | Quarterly Journal of Mathematics |
Volume | 64 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2013 Jun 1 |
ASJC Scopus subject areas
- Mathematics(all)