Hilbert functions of double point schemes in P^2
Commutative Algebra
2011-09-19 v1
Abstract
We study the question of whether there is a minimum Hilbert functions for double point schemes whose support is points with the generic Hilbert functions. Previous work shows that the question has an affirmative answer for and for equal to a binomial coefficient number. In this paper, we give evidence in the case when equals to a binomial coefficient number plus 1, and give an affirmative answer to the question when .
Keywords
Cite
@article{arxiv.1109.3610,
title = {Hilbert functions of double point schemes in P^2},
author = {A. V. Geramita and Huy Tai Ha},
journal= {arXiv preprint arXiv:1109.3610},
year = {2011}
}
Comments
Final version, to appear in Vietnam Journal of Mathematics