Torsion points on Elliptic Curves and the Jackson Space

Daniel Larsson

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arXiv · 2308.14567

Torsion points on Elliptic Curves and the Jackson Space

Daniel Larsson

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Abstract

In this paper we will use a particular non-commutative scheme to, among other things, study the ramification properties of the field of $p$-torsion points on an elliptic curve and its reduction properties. Also, we show that this non-commutative space also allow us to use the $p$-torsion points to ``parametrise'' classes in the $p$-torsion of the Brauer group of the base field.

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Daniel Larsson. 2023-08-28. Torsion points on Elliptic Curves and the Jackson Space. https://arxiv.org/abs/2308.14567

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