Density of Arithmetic Representations of Function Fields
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Association Epiga
2022-03-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/6568/pdf |
| Summary: | 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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| ISSN: | 2491-6765 |