Density of Arithmetic Representations of Function FieldsArticle
Auteurs : Hélène Esnault ; Moritz Kerz
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Hélène Esnault;Moritz Kerz
We propose a conjecture on the density of arithmetic points in the
deformation space of representations of the étale fundamental group in
positive characteristic. This? conjecture has applications to étale
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.