No different than any other event in antiquity.
well, let's look at that. JC vs. JC.
Julius Caesar- We have his writings. We have coins with his image on them. We have monuments he put up with his name on them. We can see changes in the political landscape that were due to his actions. We know the exact day he was born and the exact day he died. (13 July 100 BCE to 15 March 44 BCE). They even started calling the 7th month JULY after him a few years after his death.
Now, all that said, I don't think he was a God even though he was worshipped as one for centuries. All the things he did, were perfectly plausible things a man could do when leading considerable manpower.
CONVERSELY-
Jesus Christ. We have nothing he wrote. The things written about him were written by people decades or centuries after the fact by people who didn't know him personally. Most of the gospels are heavily plagiarized off of each other. We don't know when he was born (Matthew says around 6-4 BCE, Luke says 6 CE). He did all these amazing things that no one else but his followers recorded.
But we are supposed to believe that he did this amazing "Coming back from the dead" trick that no one recorded,even though that would have been kind of a big deal.