Buddhism: how can 'you' be reincarnated when there is no 'you'?

I learnt about this when I lived in India. I understand that they believe that the karmic factors which make up a person (the psychophysical organism on the tibetan wheel of life) can manifest themselves as an ego, even though one doesn't really exist. This isn't a very good explanation but there are books written on the subject, the best one I read was "The Buddhist Vision" by Alex Kennedy