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On the algebra of elliptic curves
Proceedings of the Edinburgh Mathematical Society, Volume: 66, Issue: 2, Pages: 548 - 556
Swansea University Author:
Tomasz Brzezinski
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© The Author(s), 2023. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence.
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DOI (Published version): 10.1017/s0013091523000275
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...
| Published in: | Proceedings of the Edinburgh Mathematical Society |
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| ISSN: | 0013-0915 1464-3839 |
| Published: |
Cambridge University Press (CUP)
2023
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| Online Access: |
Check full text
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| 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. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
Swansea University |
| Issue: |
2 |
| Start Page: |
548 |
| End Page: |
556 |