Geodesic
The rationality of moduli spaces of hyperelliptic curves
Izvestiya. Mathematics , Tome 25 (1985) no. 1, pp. 45-50

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The rationality of the moduli spaces of hyperelliptic curves of genus $g\ne4$ is proved. Bibliography: 5 titles. 
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     author = {P. I. Katsylo},
     title = {The rationality of moduli spaces of hyperelliptic curves},
     journal = {Izvestiya. Mathematics },
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     volume = {25},
     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1985_25_1_a2/}
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P. I. Katsylo. The rationality of moduli spaces of hyperelliptic curves. Izvestiya. Mathematics , Tome 25 (1985) no. 1, pp. 45-50. http://geodesic.mathdoc.fr/item/IM2_1985_25_1_a2/