English

Almost Rational Torsion Points on Semistable Elliptic Curves

Number Theory 2007-05-23 v1

Abstract

If P is an algebraic point on a commutative group scheme A/K, then P is _almost_rational_ if no two non-trivial Galois conjugates sigma(P), tau(P), have sum equal to 2P. In this paper, we classify almost rational torsion points on semistable elliptic curves over Q.

Keywords

Cite

@article{arxiv.math/0311366,
  title  = {Almost Rational Torsion Points on Semistable Elliptic Curves},
  author = {Frank Calegari},
  journal= {arXiv preprint arXiv:math/0311366},
  year   = {2007}
}

Comments

16 pages. Appeared in International Mathematical Research Notices, 2001, No. 10