On the algebra of elliptic curves
Rings and Algebras
2022-09-13 v1 Algebraic Geometry
Complex Variables
Group Theory
Abstract
It is argued that a nonsingular elliptic curve admits a natural or fundamental abelian heap structure uniquely determined by the curve itself. It is shown that the set of complex analytic or rational functions from a nonsingular elliptic curve to itself is a truss arising from endomorphisms of this heap.
Keywords
Cite
@article{arxiv.2209.05065,
title = {On the algebra of elliptic curves},
author = {Tomasz Brzeziński},
journal= {arXiv preprint arXiv:2209.05065},
year = {2022}
}
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8 pages