Abstract

We study the Hilbert function of a general union X⊂P3 of x double lines and y lines. In many cases (e.g. always for x=2 and y≥3 or for x=3 and y≥2 or for x≥4 and y≥⌈((3x+43)−27x−12)/(3x+2)⌉+3−x) we prove that X has maximal rank. We give a few examples of x and y for which X has not maximal rank.

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