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Remarks on p-torsion of algebraic surfaces. (English) Zbl 0583.14012

The paper in question contains two parts. First it is proved that a non- singular resolution of a weighted complete intersection surface with only rational singularities has a torsion-free Picard group. - In the second part the author gives an example of a surface in characteristic 3 whose crystalline cohomology is torsion-free and admits a Newton-Hodge decomposition [N. M. Katz, Astérisque 63, 113-164 (1979; Zbl 0426.14007)] but whose Hodge-de Rham spectral sequence is non-degenerate [cf. L. Illusie and M. Raynaud, Publ. Math., Inst. Hautes Étud. Sci. 57, 73-212 (1983; Zbl 0538.14012)], thus giving a counterexample to the converse of a result of the at last cited paper.
Reviewer: T.Ekedahl

MSC:

14J25 Special surfaces
14C22 Picard groups
14F30 \(p\)-adic cohomology, crystalline cohomology
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References:

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