(n,n)-split Jacobians
Genus 2 curves with split Jacobians have been in the news lately due to their use on breaking of SIKE (Superelliptic Isogeny Key Exchange). Here we will provide a history of the problem.
Legendre
Jacobi
Hermite
Goursat
Burkhardt
Brioschi
Bolza
Kani
Kuhn
Frey
Shaska
Shaska/Magaard/Volklein