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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.12153 |
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| _version_ | 1866908462749843456 |
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| author | Dang, Huy Groen, Steven R. |
| author_facet | Dang, Huy Groen, Steven R. |
| contents | We investigate the $a$-numbers of $\mathbb{Z}/p^2\mathbb{Z}$-covers in characteristic $p>2$ and extend a technique originally introduced by Farnell and Pries for $\mathbb{Z}/p\mathbb{Z}$-covers. As an application of our approach, we demonstrate that the $a$-numbers of ``minimal'' $\mathbb{Z}/9\mathbb{Z}$-covers can be deduced from the associated branching datum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12153 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $a$-Numbers of Cyclic Degree $p^2$ Covers of the Projective Line Dang, Huy Groen, Steven R. Number Theory We investigate the $a$-numbers of $\mathbb{Z}/p^2\mathbb{Z}$-covers in characteristic $p>2$ and extend a technique originally introduced by Farnell and Pries for $\mathbb{Z}/p\mathbb{Z}$-covers. As an application of our approach, we demonstrate that the $a$-numbers of ``minimal'' $\mathbb{Z}/9\mathbb{Z}$-covers can be deduced from the associated branching datum. |
| title | $a$-Numbers of Cyclic Degree $p^2$ Covers of the Projective Line |
| topic | Number Theory |
| url | https://arxiv.org/abs/2309.12153 |