In Ralf's SS edged weapon reference, he certainly does and excellent job in breaking down the criteria to distinguish the differences and characteristics of each variation. We also have a shortened version of that in the blog section of our site.
Ralf S. did the book, but the only author of the certain chapter is (co-) author Mr. Sven Georgi and the certain classification (A, B1, B2, C) is exclusive from Mr. Sven Georgi.
Regards,