Almost Rational Torsion Points on Semistable Elliptic Curves

Details Almost Rational Torsion Points on Semistable Elliptic Curves Almost Rational Torsion Points on Semistable Elliptic Curves

2003-11-20

arxiv.org/abs/math/0311366v1

Mathematics

Number Theory

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

Scientific paper

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.

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