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.

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. 
@article{IM2_1984_22_1_a1,
     author = {P. I. Katsylo},
     title = {Rationality of the orbit spaces of irreducible representations of the group~$\operatorname{SL}_2$},
     journal = {Izvestiya. Mathematics },
     pages = {23--32},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1984_22_1_a1/}
}
TY  - JOUR
AU  - P. I. Katsylo
TI  - Rationality of the orbit spaces of irreducible representations of the group~$\operatorname{SL}_2$
JO  - Izvestiya. Mathematics 
PY  - 1984
SP  - 23
EP  - 32
VL  - 22
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1984_22_1_a1/
LA  - en
ID  - IM2_1984_22_1_a1
ER  - 
%0 Journal Article
%A P. I. Katsylo
%T Rationality of the orbit spaces of irreducible representations of the group~$\operatorname{SL}_2$
%J Izvestiya. Mathematics 
%D 1984
%P 23-32
%V 22
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1984_22_1_a1/
%G en
%F IM2_1984_22_1_a1
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/

[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