Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces

Zheng Xu, Yi Ouyang, Zijian Zhou

For two supersingular elliptic curves $E$ and $E^{\prime }$ defined over ${\mathbb{F}}_{p^2}$, let $[E\times E^{\prime }]$ be the superspecial abelian surface with the principal polarization $\{0\} \…