Density of Arithmetic Representations of Function Fields
Épijournal de Géométrie Algébrique, Tome 6 (2022)
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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.
@article{10_46298_epiga_2022_6568,
author = {Esnault, H\'el\`ene and Kerz, Moritz},
title = {Density of {Arithmetic} {Representations} of {Function} {Fields}},
journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
publisher = {mathdoc},
volume = {6},
year = {2022},
doi = {10.46298/epiga.2022.6568},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2022.6568/}
}
TY - JOUR AU - Esnault, Hélène AU - Kerz, Moritz TI - Density of Arithmetic Representations of Function Fields JO - Épijournal de Géométrie Algébrique PY - 2022 VL - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2022.6568/ DO - 10.46298/epiga.2022.6568 LA - en ID - 10_46298_epiga_2022_6568 ER -
%0 Journal Article %A Esnault, Hélène %A Kerz, Moritz %T Density of Arithmetic Representations of Function Fields %J Épijournal de Géométrie Algébrique %D 2022 %V 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2022.6568/ %R 10.46298/epiga.2022.6568 %G en %F 10_46298_epiga_2022_6568
Esnault, Hélène; Kerz, Moritz. Density of Arithmetic Representations of Function Fields. Épijournal de Géométrie Algébrique, Tome 6 (2022). doi: 10.46298/epiga.2022.6568
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