Automorphisms of the Supersingular Isogeny Graph

Abstract

We provide a condition for which the supersingular $l$-isogeny graph in characteristic $p$ has only one nontrivial automorphism, given by the action of Frobenius. For a fixed $p$, our condition is known to hold for a density 1 set of primes $l$.

References in corpus (1)

• Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields