Ha, no idea what the case is with that one. Schliemann was obviously a fantasist and crook, so in a sense the prosecution doesn't have to do much to prove its case. Judging from a quick trawl of sites about it, those against authenticity have become much more vociferous in recent years.
And of course the well known potential fake, the Mask of Agamemnon.
https://en.wikipedia.org/wiki/Mask_of_Agamemnon