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arXiv · 1804.11277

Superspecial trigonal curves of genus $5$

Momonari Kudo·Shushi Harashita
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Abstract

This paper provides an algorithm enumerating superspecial trigonal curves of genus $5$ over finite fields. Executing the algorithm over a computer algebra system Magma, we enumerate them over finite fields $\mathbb{F}_{p^a}$ for any natural number $a$ if $p \leq 7$ and for odd $a$ if $p \leq 13$.

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Momonari Kudo, Shushi Harashita. 2018-04-30. Superspecial trigonal curves of genus $5$. https://doi.org/10.1080/10586458.2020.1723745

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