As with a dash following a figure, it means that the preceding harmony does not change. Since the preceding harmony is unfigured, it is implicitly 5 over 3, a root-position triad, in this case E minor. That means that this should be, in lead sheet notation, Em/A, which is a bit weird.
It is weird enough that I would suspect it of being an error. Normally you'd expect to see 6 (or 6 over 5) there; another possibility is of course to have it unfigured as a iv
chord.
It's possible that the editor assumed that the dash meant that the e.g. the A should bear the same figure as the preceding note -- in this case none, which makes more sense harmonically but does not reflect how dashes were actually used in the period. It's also possible that the A should be a G, in which case the dash indicates the same harmony as a 6 would, and the 6 is in my experience the more common way to figure that.
From the second measure, I would infer that the editor might think that the dash indicates 5 over 3, but then again there's no such mark on the first note of the example.
What is the piece? What is the edition? What sources are available for the piece? What figures do they show? The more I think about it, the more I think that the editor has misread the source somehow.