3 papers
math.LO2025
On the de Rham theorem in the globally subanalytic setting
Annette Huber, Tobias Kaiser, Abhishek Oswal
For globally subanalytic manifolds we define de Rham complexes of globally subanalytic differential forms and of constructible differential forms. Whereas the de Rham theorem does…
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…
math.NT2025
Dimension formulas for period spaces via motives and species
Annette Huber, Martin Kalck
We apply the structure theory of finite dimensional algebras in order to deduce dimension formulas for spaces of period numbers, i.e., complex numbers defined by integrals of algeb…