Isogeny graphs on superspecial abelian varieties: Eigenvalues and Connection to Bruhat-Tits buildings

Yusuke Aikawa, Ryokichi Tanaka, Takuya Yamauchi

We study for each fixed integer $g\ge 2$, for all primes $\ell$ and $p$ with $\ell \ne p$, finite regular directed graphs associated with the set of equivalence classes of $\ell$…