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.
E. Ballico, Postulation of disjoint unions of lines and a multiple point II, Mediterr. J. Math.13 (2016), no. 4, 1449–1463.
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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