Hilbert functions of double point schemes in P^2

Details Hilbert functions of double point schemes in P^2 Hilbert functions of double point schemes in P^2

2011-09-16

arxiv.org/abs/1109.3610v1

Mathematics

Commutative Algebra

Final version, to appear in Vietnam Journal of Mathematics

Scientific paper

We study the question of whether there is a minimum Hilbert functions for double point schemes whose support is $s$ points with the generic Hilbert functions. Previous work shows that the question has an affirmative answer for $s \le 9$ and for $s$ equal to a binomial coefficient number. In this paper, we give evidence in the case when $s$ equals to a binomial coefficient number plus 1, and give an affirmative answer to the question when $s = 11$.

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