2 papers
math.NT2026
Dynamical Canonical Heights and Finite Trees
Philipp Habegger, Harry Schmidt
We establish lower bounds for the canonical height of a wandering point that decays like the square of the field degree. Our methods and results apply to centered, postcritically f…
math.NT2025
Exponential periods and o-minimality
Johan Commelin, Philipp Habegger, Annette Huber
Let be an exponential period. We show that the real and imaginary part of are up to signs volumes of sets definable in the o-minimal structure generated by…