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On the algebra of elliptic curves

Tomasz Brzezinski Orcid Logo

Proceedings of the Edinburgh Mathematical Society, Volume: 66, Issue: 2, Pages: 548 - 556

Swansea University Author: Tomasz Brzezinski Orcid Logo

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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...

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Published in: Proceedings of the Edinburgh Mathematical Society
ISSN: 0013-0915 1464-3839
Published: Cambridge University Press (CUP) 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa63749
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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.
College: Faculty of Science and Engineering
Funders: Swansea University
Issue: 2
Start Page: 548
End Page: 556