I'm not sure what works on the Curve but Hiarcs is pretty good.
Best chess game for mobile phones?

I like shredder, but I don't think they're on Blackberry. This thead seems to have a good recommendation half way down:
http://www.chess.com/forum/view/chess-equipment/chess-on-the-blackberry

I use the online Shredder for games occasionally and for the dBase. The program itself seems fine but it does not work on my Palm.
I have a Blackberry Curve. What is the best chess game for mobile phones? I don't have the time or desire to play against a live opponent over the internet. My preference is a "play the computer" game that offers the opportunity to play several "opponents" of varying skill. Cost is secondary.
Thanks for your time! RZ