What is the title of the 2010 game that continues Ezio Auditore's story in Assassin's Creed?

The 2010 game that continues Ezio Auditore's story is Assassin's Creed: Brotherhood.

Brotherhood follows Ezio after the events of Assassin's Creed II and moves much of the historical action to Rome. There, Ezio confronts the powerful Borgia family while rebuilding and directing the Assassin Brotherhood. The game expands the series from a largely individual revenge story into one involving recruitment, training, and coordinated operations.

Brotherhood was developed by Ubisoft Montreal and published by Ubisoft. It introduced a system that allowed Ezio to recruit Assassins and call them into missions, a feature reflected in the subtitle. The game also included a competitive online multiplayer mode, a notable addition to the franchise at the time.

It is often confused with Assassin's Creed: Revelations, which is the next main game centered on Ezio. Revelations takes Ezio to Constantinople and connects his story more directly with Altaïr's. Brotherhood instead focuses primarily on Rome and the Borgia conflict.