Postulation of general unions of lines and +lines in positive characteristic
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E. Ballico
ballico@science.unitn.it
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DOI:
https://doi.org/10.4067/S0719-06462018000300031Abstract
A +line is a scheme R ⊂ ℙr with a line as its reduction L = Rred which is the union of L and a tangent vector v ⊈ L with vred ∈ L. Here we prove in arbitrary characteristic that for r ≥ 4 a general union of lines and +lines has maximal rank. We use the case r = 3 proved by myself in a previous paper and adapt the characteristic zero proof of the case r > 3 given in the same paper.
Keywords
E. Ballico, Postulation of general unions of lines and decorated lines, Note Mat. 35 (2015),no. 1, 1–13.
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E. Ballico, Postulation of general unions of lines and double points in a higher dimensional projective space, Acta Math. Vietnam. 41 (2016), no. 3, 495–504.
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