Hi Fred This is a fake for sure. This camera pretend to be a Leica 1 C. But Leica 1 C looks complitely different. There were no chrom version of Leica 1 C. Leica has not put numbers on lenses before 1933 so lack of serial number on front of the lens does not mean this is a fake. And there are a lot of other differences between your camera and Leica.
Thank you for your message... I try to find here a topic spcialized in fakes, but I don't find one. Does somebody could help me to find it, or if it does not exist, I will open new topic in order to share some informations and pics about fakes?