Alan, when I lived in Japan, I went to an industrial grade hardware store and found saw blades (metric of course) with carbide blades up to 150mm (roughly 6 inches) and with .9mm kerf carbide blades. That was the thinnest carbide that I found. They had several brands of 1mm kerf carbide. I purchased a few and brought back with me along with a saw that could use them. After I returned home, I did a search and found a couple of places in the US that offered carbide blades with 1mm kerf. I haven't searched in the last 10 years, so I am unsure of availability. Surely in the Euro area there are blades available there.
My point is, the thin carbide blades I have used cut incredibly smooth and precise. I was able to achieve cuts similar to some of those of the masters. That kind of smoothness helps tremendously with segments. Not sure if they would fit your saw, but if the arbor hole was large enough, an adapter could make it fit.