Abstract
In this paper, we study good ropes supported by linear spaces of dimension ≥ 2. At first, we show that these schemes have some nice properties (for example, they all are locally Cohen-Macaulay), then we investigate the problem of extending a rope supported by a line to a good rope supported by a linear space of dimension ≥ 2. In particular, when the linear space is a plane, we study the problem of extending a rope supported by a line to a good rope with stable conormal bundle.
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