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SOORI Atif Hasan, DAOUSSA Daniel. On classification of isotrivial elliptic Belyi fibrations[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 25-29. doi: 10.3969/j.issn.1000-5641.2016.04.003
Citation:
SOORI Atif Hasan, DAOUSSA Daniel. On classification of isotrivial elliptic Belyi fibrations[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 25-29. doi: 10.3969/j.issn.1000-5641.2016.04.003
SOORI Atif Hasan, DAOUSSA Daniel. On classification of isotrivial elliptic Belyi fibrations[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 25-29. doi: 10.3969/j.issn.1000-5641.2016.04.003
Citation:
SOORI Atif Hasan, DAOUSSA Daniel. On classification of isotrivial elliptic Belyi fibrations[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 25-29. doi: 10.3969/j.issn.1000-5641.2016.04.003
In this paper we classify relatively minimal, isotrivial families of curves $f: S \to \mathbb{P}^1$ of genus 1 with three singular fibers (Belyi fibrations). Assuming that these families have a section, we find that they are exactly 12 in number up to isomorphism. Moreover, as a result of this classification, we find that except one, the dimension of all other families in $\overline{\mathcal{M}}_1$ is zero.
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