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On the generic plane section of smooth space curves in positive characteristic

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Abstract

Let C ⊂ P 3 be a smooth and connected projective curve of genus g ≥ 2. Here in characteristic ≠ 2 we prove that its generic plane section is in uniform position and that its numerical character is connected.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Trento, 38050, Povo (TN), Italy

    Edoardo Ballico

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  1. Edoardo Ballico
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Correspondence to Edoardo Ballico.

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Partially supported by MIUR and GNSAGA of INdAM (Italy)

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Ballico, E. On the generic plane section of smooth space curves in positive characteristic. Rend. Circ. Mat. Palermo 58, 41–44 (2009). https://doi.org/10.1007/s12215-009-0004-4

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  • DOI: https://doi.org/10.1007/s12215-009-0004-4

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