I totally disagree with all those saying that Dukat died and am not buying this "Dukat died before he fell into the flames" argument at all. Not sure where some posters are getting that from, that is not what the show presents. The show presents Dukat as alive and well as taunts Sisko to stop him. It is seeming like many members are mixing up the non-canon books with the canon show.
After they fall into the flames, the wormhole aliens make it clear that Dukat didn't die any moreso than Sisko did.
Dukat is still alive and well, playing poker and scheming with is Pah-Wraith buddies.
If Dukat is dead, then Sisko is dead too. End of story.