Reduced and non-reduced linear spaces: Lines and points
Algebraic Geometry
2013-09-02 v1
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.
Cite
@article{arxiv.1308.6796,
title = {Reduced and non-reduced linear spaces: Lines and points},
author = {Enrico Carlini and Maria Virginia Catalisano and Anthony V. Geramita},
journal= {arXiv preprint arXiv:1308.6796},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1006.2290