While reading the book of Gestapo at his friend's home, Alexandre is holding a cigarette in his right hand in the close-up. In the next shot he is only holding the book.
As Alexandre stands at the cafe 14 minutes into the movie, looking back, a pedestrian approaches after crossing the street, sees the camera, and self-consciously dodges to his right.
Alexandre can be seen drinking a bottle of 1970 Gevrey-Chambertin, which would have been far too expensive for him to have purchased. This error is illuminated by his notable lack of money during the cafe scene, in which his date pays for his bill.