Gene Kelly's part in the film is also a bit vague, but he looks great in his pastel wardrobe and his dancing is, as always, tip-top. There's also a strange reference to a serial killer and whether he might be one of the characters, which seems odd to an American audience, but makes more sense in the oeuvre of European cinema.
This film is available on DVD and has a bit of a profile among film buffs and Deneuve fans. It's largely unknown to the American public, however. The trailer is above, uploaded to YouTube by BritishFilmInstitute.
Obscurity factor: 4 (known to film buffs, on DVD, largely unknown by the general public)