Hey, yes you can download the game as many time as you need once it's been activated in your Ubisoft account. Like on Steam really. You install Uplay on another computer and download the games from there. I mean the games are attached to your Ubisoft account, not to your PC, or any other PC. So any game activated on your Ubisoft account can be re-downloaded/re-installed on any system as long as you have an internet connexion.