What is meant by 'genes overlapping inherited structural variants'?
If I understand correctly, what this paper is looking at is rare copy-number variation in ASD cases relative to controls. So in the context of the paper, the passage you quoted is basically saying we found genes that had copy-number variation between cases and controls, i.e. the cases had a pattern of more/fewer copies of a stretch of the genome that includes a gene than the controls. Then they look at the functions of the genes they found in a gene ontology database to see if they seem like they might relate to ASD.