Density of Arithmetic Representations of Function Fields
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866915241961455616 |
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| author | Esnault, Hélène Kerz, Moritz |
| author_facet | Esnault, Hélène Kerz, Moritz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_12819 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Density of Arithmetic Representations of Function Fields Esnault, Hélène Kerz, Moritz Algebraic Geometry Number Theory 11G99, 14G99 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. |
| title | Density of Arithmetic Representations of Function Fields |
| topic | Algebraic Geometry Number Theory 11G99, 14G99 |
| url | https://arxiv.org/abs/2005.12819 |