20260316

New preprint! This one is about a quantitative local-global principle for the number of p-extensions of rational function fields in characteristic p, in nilpotency class ≤ 2, ordered by largest upper ramification break. The paper simplifies our previous proof, making the argument more stand-alone, and avoiding the exclusion of the prime 2. I am quite happy about the outcome, as I now better understand why the result holds. Working on generalizations is of course my next goal…