 Although he suspects Light is Kira, L allows him to collaborate with the police on the case.This begins a game of cat and mouse between the two, with Light trying to learn L's real name so he can kill him, and L trying to get Light to expose himself so that he can arrest him.Because the actions of Misa Amane, a fervent Kira supporter and fellow Death Note owner, nearly implicates Light, he becomes compelled to temporarily relinquish ownership of his notebook and subsequently loses his memories of using the Death Note.