Geodesic
Rationality of the orbit spaces of irreducible representations of the group $\operatorname{SL}_2$
Izvestiya. Mathematics, Tome 22 (1984) no. 1, pp. 23-32 
P. I. Katsylo. Rationality of the orbit spaces of irreducible representations of the group $\operatorname{SL}_2$. Izvestiya. Mathematics, Tome 22 (1984) no. 1, pp. 23-32. http://geodesic.mathdoc.fr/item/IM2_1984_22_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper the rationality of the moduli spaces of hyperelliptic curves of genus $g\geqslant15$ is proved. Bibliography: 6 titles.

[1] Springer T., Teoriya invariantov, Mir, M., 1981 | MR | Zbl

[2] Gordan P., Vorlesungen über Invariantentheorie, II, ed. G. Kerschensteiner, Teubner, Leipzig, 1887 | MR | Zbl

[3] Gatti V., Viniberghi E., “Spinors of 13-dimensional space”, Advances in Math., 30 (1978), 137–155 | DOI | MR | Zbl

[4] Mamford D., Algebraicheskaya geometriya, Mir, M., 1979 | MR

[5] Vinberg E. B., “Ratsionalnost polya invariantov treugolnoi gruppy”, Vestn. Mosk. un-ta, 1982, no. 2, 23–24 | MR | Zbl

[6] Popp H., Moduli theory and classification theory of algebraic varieteies, Lecture Notes in Math., 620, Springer-Verlag, 1977 | MR | Zbl