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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1807.09983 |
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| _version_ | 1866914664698347520 |
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| author | Jakob, Konstantin |
| author_facet | Jakob, Konstantin |
| contents | In earlier work of the author rigid irregular connections with differential Galois group $G_2$ and whose slopes have numerator $1$ were classified and new rigid connections were constructed. The same construction can be carried out for $\ell$-adic local systems in the setting of positive characteristic. In this article we provide the results that are needed to obtain the classification of wildly ramified rigid $G_2$-local systems whose slopes have numerator $1$. The overall strategy of the classification is very similar but the methods needed to obtain some invariants differ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_09983 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Wildly Ramified Rigid $G_2$-Local Systems Jakob, Konstantin Algebraic Geometry In earlier work of the author rigid irregular connections with differential Galois group $G_2$ and whose slopes have numerator $1$ were classified and new rigid connections were constructed. The same construction can be carried out for $\ell$-adic local systems in the setting of positive characteristic. In this article we provide the results that are needed to obtain the classification of wildly ramified rigid $G_2$-local systems whose slopes have numerator $1$. The overall strategy of the classification is very similar but the methods needed to obtain some invariants differ. |
| title | Wildly Ramified Rigid $G_2$-Local Systems |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1807.09983 |