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On the adjunction mapping for surfaces of Kodaira dimension ≤0 in char. p

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Abstract

Here we prove in positive characteristic the spannedness or very ampleness or k-ampleness of the adjuntion bundle KS⊕L with S surface of Kodaira dimension ≤0 L∈Pic(S), L ample, under numerical conditions on L which are similar to the ones required in characteristic 0 by Reider method.

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Authors and Affiliations

  1. Dip. di Matematica, Università di Trento, 38050, Povo, (TN), Italy

    E. Ballico

  2. Dip. di Matematica, Università di Napoli, via Mezzocannone 8, 80129, Napoli, Italy

    L. Chiantini

  3. Dip. di Matematica, Università di Trento, 38050, Povo, (TN), Italy

    V. Monti

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  1. E. Ballico
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  2. L. Chiantini
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  3. V. Monti
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Ballico, E., Chiantini, L. & Monti, V. On the adjunction mapping for surfaces of Kodaira dimension ≤0 in char. p. Manuscripta Math 73, 313–318 (1991). https://doi.org/10.1007/BF02567643

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  • DOI: https://doi.org/10.1007/BF02567643

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