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On the fundamental group of a unirational 3-fold. (English) Zbl 0427.14014


MSC:

14J30 \(3\)-folds
14E20 Coverings in algebraic geometry
14F30 \(p\)-adic cohomology, crystalline cohomology
14F45 Topological properties in algebraic geometry
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References:

[1] Artin, M., Mumford, D.: Some elementary examples of unirational varieties which are not rational. Proc. London math. Soc.25, 75-95 (1972) · Zbl 0244.14017
[2] Berthelot, P.: Cohomologie cristalline des Schémas de caractéristiquep>0. Lecture Notes in Math. No. 407. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0298.14012
[3] Spencer Bloch: AlgebraicK-theory and crystalline cohomology. To appear in Publ. Math. I.H.E.S.
[4] Grothendieck, A.: Revêtements étales et groupe fondamental (SGA 1). Lecture Notes in Math. No. 224. Berlin-Heidelberg-New York: Springer 1970
[5] Grothendieck, A.: Le Groupe de Brauer III, in Dix Exposés sur la Cohomologie des Schémas. Amsterdam: North Holland 1968
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[9] Katz, N.: Une formule des congruence pour la fonctions. In: SGA 7, Lecture Notes in Math. No. 304. Berlin-Heidelberg-New York: Springer 1973 · Zbl 0275.14015
[10] Mumford, D.: Abelian Varieties. Oxford: University Press 1970 · Zbl 0223.14022
[11] Serre, J.-P.: Corps Locaux. Paris: Hermann 1968
[12] Serre, J.-P.: On the fundamental group of a unirational variety. Journal of the London math. Soc.14, 481-484 (1959) · Zbl 0097.36301
[13] Serre, J.-P.: Sur la topologie des variétiés algébriques en caractéristique. Symp. Int. de Top. Alg. Mexico 1958
[14] Shioda, T.: An example of unirational surfaces in charp. Math. Ann.211, 233-236 (1974) · Zbl 0283.14009
[15] Shioda, T.: On unirationality of supersingular surfaces. To appear · Zbl 0341.14010
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