23 citations · 83 across the 19 of their papers we have counts for
12 papers · 1 filter
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…
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 $\…
Galois theory of periods
Annette Huber
In this mostly expository note we explain how Nori's theory of motives achieves the aim of establishing a Galois theory of periods, at least under the period conjecture. We explain…
Transcendence and linear relations of -periods
Annette Huber, Gisbert Wüstholz
We study four fundamental questions about -periods and give complete answers. 1) We give a necessary and sufficient for a period integral to be transcendental. 2) We give a qual…