I am looking for a relevant archaeological synthesis on the Neolithic periods of Corsica, South France, Italy and Sicily, possibly with data on lithic material consumption.
I can't recommend a specific study at all, but I know that my colleague Sarah McClure has been studying the Neolithic of Spain. You might look for publications by her.
You might want to look out for Stéphane Renault publications about the silex production at the end of the neolithic period for South France and Corsica, also E. Thirault, M. Honnegger and O. Lemercier (for a synthesis).