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arXiv · 1408.6623

On Symmetries of Elliptic Nets and Valuations of Net Polynomials

Amir Akbary·Jeff Bleaney·Soroosh Yazdani
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Abstract

Under certain conditions, we prove that the set of zeros of an elliptic net forms an Abelian group. We present two applications of this fact. Firstly we give a generalization of a theorem of Ayad on valuations of division polynomials in the context of net polynomials. Secondly we generalize a theorem of Ward on symmetry of elliptic divisibility sequences to the case of elliptic nets.

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Amir Akbary, Jeff Bleaney, Soroosh Yazdani. 2014-08-28. On Symmetries of Elliptic Nets and Valuations of Net Polynomials. https://arxiv.org/abs/1408.6623

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