• Corpus ID: 55590451

# Torsion points on elliptic curves and tame semistable coverings

@article{Helminck2018TorsionPO,
title={Torsion points on elliptic curves and tame semistable coverings},
author={Paul Alexander Helminck},
journal={arXiv: Algebraic Geometry},
year={2018}
}
• P. A. Helminck
• Published 28 February 2018
• Mathematics
• arXiv: Algebraic Geometry
In this paper, we study tame Galois coverings of semistable models that arise from torsion points on elliptic curves. These coverings induce Galois morphisms of intersection graphs and we express the decomposition groups of the edges in terms of the reduction type of the elliptic curve. To that end, we first define the reduction type of an elliptic curve $E/K(C)$ on a subgraph of the intersection graph $\Sigma(\mathcal{C})$ of a strongly semistable model $\mathcal{C}$. In particular, we define…

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