Geodesic
Nonrationality of the general Enriques variety
Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 267-273 
S. Yu. Èndryushka. Nonrationality of the general Enriques variety. Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 267-273. http://geodesic.mathdoc.fr/item/SM_1985_51_1_a16/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that a general Enriques variety is nonrational. Bibliography: 7 titles.

[1] Clemens C. H., Griffits P. A., “The intermediate Jacobian of the cubic threefolds”, Ann. of Math., 92:2 (1972), 281–356 | DOI | MR

[2] Roth L., Algebraic threefolds with special regard to problem of racionality, Springer-Verlag, Berlin–Gotingen–Haidelberg, 1955 | MR

[3] Serre J.-P., “On the fundamental group an unirational variety”, J. London Math. Soc., 34:4 (1959), 681–684 | DOI | MR

[4] Sarkisov V. G., “Biratsionalnye avtomorfizmy trekhmernykh algebraicheskikh mnogoobrazii, predstavimykh v vide rassloeniya konik”, UMN, 34:4 (1979), 207–208 | MR | Zbl

[5] Shokurov V. V., “Mnogoobrazie Prima: teoriya i prilozheniya”, Izv. AN SSSR. Ser. matem., 47:4 (1983), 785–855 | MR | Zbl

[6] Tyrrell J. A., “The Enriques threefold”, T. London Math. Soc., 36 (1961), 897–898 | MR

[7] Endryushka S. Yu., “Srednii Yakobian trekhmernogo rassloeniya na koniki yavlyaetsya mnogoobraziem Prima”, Matem. sb., 122(164) (1983), 276–285 | MR