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arXiv · 1308.6796

Reduced and non-reduced linear spaces: Lines and points

Enrico Carlini·Maria Virginia Catalisano·Anthony V. Geramita
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Abstract

In this paper we consider the problem of determining the Hilbert function of schemes X of the proiective space P^n which are the generic union of s lines and one m-multiple point. We completely solve this problem for any s and m when n > 3. When n=3 we find several defective such schemes and conjecture that they are the only ones. We verify this conjecture in several cases.

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Enrico Carlini, Maria Virginia Catalisano, Anthony V. Geramita. 2013-08-30. Reduced and non-reduced linear spaces: Lines and points. https://arxiv.org/abs/1308.6796

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