Double-orientations on supersingular isogeny graphs
Number Theory
2025-10-20 v1
Abstract
We recall and define various kinds of supersingular -isogeny graphs and precise graph isomorphism with a corresponding quaternion -ideal graph. In particular, we introduce the notion of double-orientations on supersingular elliptic curves and study the structure of double-oriented supersingular -isogeny graphs.
Keywords
Cite
@article{arxiv.2510.15820,
title = {Double-orientations on supersingular isogeny graphs},
author = {Do Eon Cha and Imin Chen},
journal= {arXiv preprint arXiv:2510.15820},
year = {2025}
}
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56 pages