Hello again. Thank you for all your answers. Yes, I like the sword, and no, I'm totally convinced that it is a gimei. I love to research things, I'm a historian so that is in my blood: But I'm not convinced the other way either. You have supplied me with good arguments for any possible conclusion.
The mei looks very crisp in the pictures, and in hand, and that is a good indication that it engraved later. But when I examine the mei under high magnifiaction (20x) I notice that there is rust and corrosion also inside the strokes. The rust, patina, is consistent on the nakago, and inside the chisel marks. I guess it's possible to fake this with some sort of acid, but it dosn't look that way.
I have meassured the blade to the best of my ability, and I hope I got the right words for it (writing this with The Samurai Sword by John M. Yumoto in one hand):
Total lenght is 68.4 cm, from machi to kissaki its 54 cm. The sori is 1 cm. Motohaba (width at machi?) is 3 cm. Sakihaba (width at yokote) is 2.5 cm. The thickness is 0.55 cm at the machi and 0.45 at the yokote.
I'm not sure how to observe the hamon and the grain, i.e. I don't know what is nie or nioi. The grain looks like masame hada (straight), and the hamon looks like suguha hotsure (stray straight), and it's placed high on the blade.
I post some more pictures, they are not great, but they give an idea about the shape of the blade. (Quality is quite good, but the kissake is a little blunt, and there are a few places with old rust (spiderweb), but they are shallow.)
Any comments?