23 citations · 83 across the 19 of their papers we have counts for
23 papers
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…
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…
The period isomorphism in tame geometry
Annette Huber
We describe singular homology of a manifold via simplices that satisfy Stokes' formula with respect to all differential forms. The notion is geared to the case of…
Semi-algebraic motives
Annette Huber
We define a category of motives for semi-algebraic spaces and show that it is trivial. This implies that there is no good extension of algebraic de Rham cohomology to semi-algebrai…
Exponential periods and o-minimality II
Johan Commelin, Annette Huber
This paper is a sequel to "Exponential periods and o-minimality I" that the authors wrote together with Philipp Habegger. We complete the comparison between different definitions o…
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 $\…