paper

Almost Rational Torsion Points on Semistable Elliptic Curves

arXiv:math/0311366

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.

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

Almost Rational Torsion Points on Semistable Elliptic Curves · wovepaper