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arXiv · 2005.12819

Density of Arithmetic Representations of Function Fields

Hélène Esnault·Moritz Kerz
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Abstract

We propose a conjecture on the density of arithmetic points in the deformation space of representations of the \'etale fundamental group in positive characteristic. This? conjecture has applications to \'etale cohomology theory, for example it implies a Hard Lefschetz conjecture. We prove the density conjecture in tame degree two for the curve $\mathbb{P}^1\setminus \{0,1,\infty\}$. v2: very small typos corrected.v3: final. Publication in Epiga.

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Hélène Esnault, Moritz Kerz. 2020-05-26. Density of Arithmetic Representations of Function Fields. https://doi.org/10.46298/epiga.2022.6568

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