@article{SM_1992_72_2_a9,
author = {P. I. Katsylo},
title = {Rationality of the moduli variety of curves of genus~5},
journal = {Sbornik. Mathematics},
pages = {439--445},
year = {1992},
volume = {72},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1992_72_2_a9/}
}
P. I. Katsylo. Rationality of the moduli variety of curves of genus 5. Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 439-445. http://geodesic.mathdoc.fr/item/SM_1992_72_2_a9/
[1] Igusa J., “Arithmetic variety of moduli for genus two”, Ann. Math., 72:3 (1960), 612–649 | DOI | MR | Zbl
[2] Shepherd-Barron N. I., The rationality of certain spaces associated to trigonal curves, Algebraic Geometry, Bowdoin, 1985
[3] Shepherd-Barron N. I., “Invariant theory for $S_5$ and the rationality of $M_6$”, Comp. Math., 70 (1989), 13–25 | MR | Zbl
[4] Katsylo P. I., “Mnogoobraziya modulei krivykh roda 4 ratsionalno”, DAN SSSR, 290:6 (1986), 1292–1294 | MR
[5] Bogomolov F. A., Katsylo P. I., “Ratsionalnost nekotorykh faktor-mnogoobrazii”, Matem. sb., 126 (168) (1985), 584–589 | MR | Zbl
[6] Vinberg E. B., Onischik A. B., Seminar po algebraicheskim gruppam i gruppam Li, Nauka, M., 1989
[7] Vinberg E. B., “Ratsionalnost polya invariantov treugolnoi gruppy”, Vestn. MGU. Ser. matem., mekh., 1982, no. 1, 23–24 | MR | Zbl