Here in the UK there are two species that are reliably hardy - C. neopolitanum (flowers Novemberish) and C. coum (flowers Januaryish). Both are easily rasied from seed but dried corms can be a problem. The flowers when pollinated have a seed dispersal mechanism whereby the flower stem coils up once pollinated into a spring, then as the seeds ripen the stem pushes the seed pod into the gound. I collect the seed (once told by an expert that Cyclamen seed is always ready in July, whatever the main flowering time) and braodcast it round the garden. Some is picked up by ants as the seed has a sugary couting.
Other species will live outside but could be problematic. The C. persicum hybrids are not really hardy here but will survive a light frost.
for the C. persicum hybrids a summer rest is essential - place the pot on it side in a warm position until growth restarts in autumn.