Thanks for asking. My argument is that the Gospels are early eyewitness accounts. The problem is that no Hebrew at that time would believe a story like that to be true, so it is inexplicable as to why they did. Even more inexplicable is the spread of the 'faith' after it's leader was publicly executed. There were multiple 'messiahs' running around whose movements were all destroyed after they were executed, yet only this one persisted. I don't know what took place, but to chalk it up to a fabrication or delusions makes even less sense considering the evidence and history.
Roman and Jewish officials could have squashed all this very easily, yet the evidence shows them making excuses for what happened rather than denying it outright. Not to mention, all the resources Jewish and Roman authorities expended tracking these people down just to execute them if they didn't renounce it when all they had to do was show the corpse.
1. It's not inexplicable. Similar to the Protestant Reformation, it is conceivable that some of the devout during that time period were disenchanted with the staunch power-holders of the religion, could relate to Jesus' struggles (i.e. challenging Rabbis etc), interpreted enough of the evidence of his life at the time to consider him to be the long awaited messiah, and slowly jumped ship as it became more acceptable to do so as time progressed..and even if some weren't sure of him being the messiah, they may have agreed with enough of his teachings and disagreed with his persecution enough to not want to be with the "old guard" anymore. After all, Jesus was Jewish and didn't necessarily intend to start a new religion.
2. I also don't know what exactly took place...no one does. Due to this, however, it isn't nonsensical to question some of the evidence as being somewhat fabricated, exaggerated or possibly delusional. There is a preponderant amount of angles to approach this as an investigation to claim reasonable doubt in the complete authenticity and accuracy of what was accounted for historically, just as there are many reasons and examples for those to believe. I don't intend this to be disrespectful in any way, but it's not like there was medicinal treatment for mental illness back then, it is reasonable to think that there were witness accounts and testimonies that weren't necessarily completely accurate. I really don't mean any disrespect to the religion, its current believers or its past believers...Im just saying that not everyone back then (or now) was of clear mind (between Jesus' supporters or detractors).
3. Showing the corpse may not have been enough. For those who fervently believed in Jesus could have just as easily believed that the authorities did not produce the actual body of Jesus.
4. It took over 300 years for the Roman Empire to become officially Christian and that was because of Constantine's mother subconsciously and consciously drilling home its virtues and only after Constantine won an important battle in which beforehand he had a dream about his mother and Jesus..and said that if he won the battle he would convert. This doesn't necessarily seem to be fact driven, but more-so driven by faith, spiritual intuition and subsequent military success. The resources the authorities used to dispel the supporters and that they made excuses for what happened after the fact could be applied to many different types of "rebellion" throughout history. Outright denial wouldn't be sufficient to squash it, just as it isn't today with all the conspiracy theories running rampant. The CIA is famous for the "neither confirm nor deny" approach (their tweet was funny btw).