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- W2784857376 abstract "We study the moduli space $mathcal{AS}_{g}$ of Artin-Schreier curves of genus $g$ over an algebraically closed field $k$ of positive characteristic $p$. The moduli space is partitioned by irreducible strata, where each stratum parameterizes Artin-Schreier curves whose ramification divisors have the same coefficients. We construct deformations of these curves to study the relations between those strata. As an application, when $p=3$, we prove that $mathcal{AS}_{g}$ is connected for all possible $g$. When $p>3$, it turns out that $mathcal{AS}_{g}$ is connected for sufficiently large value of $g$. In the course of our work, we answer Pries and Zhu's question about how a combinatorial graph determines the geometry of $mathcal{AS}_g$." @default.
- W2784857376 created "2018-02-02" @default.
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- W2784857376 date "2020-04-01" @default.
- W2784857376 modified "2023-10-17" @default.
- W2784857376 title "Connectedness of the moduli space of Artin-Schreier curves of fixed genus" @default.
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- W2784857376 doi "https://doi.org/10.1016/j.jalgebra.2019.11.034" @default.
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