A major flaw in the painting — which is the only one of da Vinci's that remains in private hands — makes some historians think it's a fake. The crystal orb in the image doesn't distort light in the way that natural physics does, which would be an unusual error for da Vinci.
My reaction when I first read this is that, it is not as if da Vinci was painting this live with the actual Jesus Christ holding the orb. So either he made a mistake, or he knew what he was doing and didn't think it would matter. I don't think this observation is enough to call the painting a fake.
Still, it may make a good class example in Intro Physics optics.