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"corona" and "coronasdk" both refer to Corona SDK most of the time. Sometimes tag corona refers to something else I didn't figure out what is. It seems a rarity, though.
Actually, corona, and coronasdk have a tag excerpt, and a tag wiki that contain a description of (or a reference to) the Corona SDK. This means the purpose of both the tags is the same.
There are 164 questions that use both the tags. The tags should be merged.
Finally, after nearly an year coronasdk has become a synonym of corona.
Though the count is different for both tags, I think it'll be fixed after next cache cycle runs (or something; since it's always the caching).