On some algebras associated to genus one curves
Number Theory
2017-07-27 v1
Abstract
Haile, Han and Kuo have studied certain non-commutative algebras associated to a binary quartic or ternary cubic form. We extend their construction to pairs of quadratic forms in four variables, and conjecture a further generalisation to genus one curves of arbitrary degree. These constructions give an explicit realisation of an isomorphism relating the Weil-Chatelet and Brauer groups of an elliptic curve.
Cite
@article{arxiv.1707.08330,
title = {On some algebras associated to genus one curves},
author = {Tom Fisher},
journal= {arXiv preprint arXiv:1707.08330},
year = {2017}
}
Comments
20 pages