Sony bought out Minolta many years ago. Word is that many Minolta lenses will mount on Sony's Alpha series (DSLR's), but you'll have to do some digging to find out about your lenses

These guys should be able to help you with particular lenses. http://www.dyxum.com/lenses/index.asp -or- http://www.photoclubalpha.com/forum/

Keep in mind that even though they might mount, the odds are good that you will lose AF (auto-focus), or that the consumer-grade film lenses will give bad results on a modern DSLR sensor.