Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Huber, Annette"'
Autor:
Huber, Annette, Kalck, Martin
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 algebraic nature. We get a complete and conceptually clear answer in the ca
Externí odkaz:
http://arxiv.org/abs/2405.21053
Autor:
Huber, Annette
We describe singular homology of a manifold $X$ via simplices $\sigma:\Delta_d\to X$ that satisfy Stokes' formula with respect to all differential forms. The notion is geared to the case of tame geometry (definable manifolds with respect to an o-mini
Externí odkaz:
http://arxiv.org/abs/2204.01402
Autor:
Huber, Annette
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-algebraic spaces compatible with the period isomorphism.
Externí odkaz:
http://arxiv.org/abs/2007.10166
Autor:
Commelin, Johan, Huber, Annette
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 of exponential periods, and show that they all lead to the same notion.
Externí odkaz:
http://arxiv.org/abs/2007.08290
Let $\alpha \in \mathbb{C}$ be an exponential period. We show that the real and imaginary part of $\alpha$ are up to signs volumes of sets definable in the o-minimal structure generated by $\mathbb{Q}$, the real exponential function and ${\sin}|_{[0,
Externí odkaz:
http://arxiv.org/abs/2007.08280
Autor:
Huber, Annette
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 and compare different notions periods, different versions of the peri
Externí odkaz:
http://arxiv.org/abs/1811.06268
Autor:
Huber, Annette, Wüstholz, Gisbert
We study four fundamental questions about $1$-periods and give complete answers. 1) We give a necessary and sufficient for a period integral to be transcendental. 2) We give a qualitative description of all $\overline{\mathbf{Q}}$-linear relations be
Externí odkaz:
http://arxiv.org/abs/1805.10104
Publikováno v:
Pacific J. Math. 306 (2020) 1-30
We construct a tensor product on Freyd's universal abelian category attached to an additive tensor category or a tensor quiver and establish a universal property. This is used to give an alternative construction for the tensor product on Nori motives
Externí odkaz:
http://arxiv.org/abs/1803.00809
Autor:
Huber, Annette, Kelly, Shane
Publikováno v:
Alg. Number Th. 12 (2018) 649-692
This paper continues our study of the sheaf associated to K\"ahler differentials in the cdh-topology and its cousins, in positive characteristic, without assuming resolution of singularities. The picture for the sheaves themselves is now fairly compl
Externí odkaz:
http://arxiv.org/abs/1706.05244