There is some information about how Skyline's peak detection works in this "Skyline Ecosystem" paper by Pino et al:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5799042/
Does that answer your question? Skyline's peak detection algorithm is very complicated and I am not sure whether it has been described anywhere in detail. If you have a more specific question we can probably answer it.
-- Nick