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- W1963736266 abstract "In this paper we study bielliptic curves of genus 3 defined over an algebraically closed field $k$ and the intersection of the moduli space $M_3^b$ of such curves with the hyperelliptic moduli $H_3$. Such intersection $S$ is an irreducible, 3-dimensional, rational algebraic variety. We determine the equation of this space in terms of the $Gl(2, k)$-invariants of binary octavics as defined in cite{hyp_mod_3} and find a birational parametrization of $S$. We also compute all possible subloci of curves for all possible automorphism group $G$. Moreover, for every rational moduli point $p in S$, such that $| Aut (p) | > 4$, we give explicitly a rational model of the corresponding curve over its field of moduli in terms of the $Gl(2, k)$-invariants." @default.
- W1963736266 created "2016-06-24" @default.
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- W1963736266 date "2013-09-05" @default.
- W1963736266 modified "2023-10-16" @default.
- W1963736266 title "Bielliptic curves of genus 3 in the hyperelliptic moduli" @default.
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- W1963736266 doi "https://doi.org/10.1007/s00200-013-0209-9" @default.
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