Botta, Luciana Picco; Verra, Alessandro
The non rationality of the generic Enriques' threefold
Compositio Mathematica, Tome 48 (1983) no. 2 , p. 167-184
Zbl 0508.14032 | MR 700002 | 2 citations dans Numdam
URL stable : http://www.numdam.org/item?id=CM_1983__48_2_167_0

Bibliographie

[1] A. Beauville: Variétés de Prym et Jacobiennes intermédiaires, Ann. Scient. de l'Ecole Norm. Sup. 10 (1977), 304-392. Numdam | MR 472843 | Zbl 0368.14018

[2] A. Beauville: Prym varieties and Schottky problem, Invent. Math. 41, fasc. 2, (1977) 149-196. MR 572974 | Zbl 0333.14013

[3] C. Clemens and Ph. Griffiths: On the intermediate Jacobian of the cubic threefold, Ann. Math. 95 no. 2 (1972) 281-356. MR 302652 | Zbl 0214.48302

[4] A. Conte and J.P. Murre: On quartic threefolds with a double line, Indag. Math. 80 (1977) 145-175. MR 498594 | Zbl 0353.14016

[5] Ph. Griffiths and J. Harris: Principles of Algebraic Geometry, Wiley Interscience Pub., New York, 1974.

[6] D. Mumford: "Prym Varieties I" in Contribution to Analysis, Academic Press, New York (1974) 325-350. MR 379510 | Zbl 0299.14018

[7] D. Mumford: Curves and their Jacobians. Univer. of Michigan Press 9175. MR 419430 | Zbl 0316.14010

[8] J.P. Murre: Reduction of the proof of the non rationality of the non singular cubic threefold to a result of Mumford, Compos. Math. 27 no. 1 (1972) 63-82. Numdam | MR 352089 | Zbl 0271.14020

[9] J.P. Murre: Algebraic equivalence modulo rational equivalence on a cubic threefold, Comp. math. 25 (1972) 161-206. Numdam | MR 352088 | Zbl 0242.14002

[10] L. Roth: Algebraic threefolds. Springer Verl., Berlin 1955. MR 48083

[11] L. Roth: Lezioni di Geometria Algebrica Classica, Pubblicazioni dell'Istituto di Matematica dell'Università di Genova, no. 10 (1955). Zbl 0068.14503

[12] J.P. Serre: On the foundamental group of a unirational variety, J. Lond. Math. Soc. 34 (1959) 481-484. MR 109155 | Zbl 0097.36301

[13] Tyrrel: The Enriques threefold, Proc. Cambridge Philos. Soc. no. 57 (1961) 897-898. MR 130254 | Zbl 0163.15401