Abstract
For a smooth quartic plane curve $C$ we show an existence of a family of Galois closure curves $\phi : S \longrightarrow C$, where $S$ is a nonsingular projective surface and $\phi ^{-1}(P)$ is isomorphic to the Galois closure curve $C_{P}$ for a general point $P \in C$. Moreover we determine the types of singular fibers. As a corollary we can say that $C_{P}$ is not isomorphic to $C_{Q}$ if $P$ is close to $Q$.
Citation
Hisao Yoshihara. "Families of Galois closure curves for plane quartic curves." J. Math. Kyoto Univ. 43 (3) 651 - 659, 2003. https://doi.org/10.1215/kjm/1250283700
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