Postulation of general quartuple fat point schemes in P^3

Abstract

We study the postulation of a general union $Y$ of double, triple, and quartuple points of ${\mathbb{P}}^3$. We prove that $Y$ has the expected postulation in degree $d\ge 41$, using the Horace differential lemma. We also discuss the cases of low degree with the aid of computer algebra.

14 pages, to appear in J. Pure App. Algebra

References in corpus (1)

• Regularity and non-emptyness of linear systems in ${\mathbb{P}}^n$

Cited by in corpus (2)

• Linear systems in P^3 with low degrees and low multiplicities
• Containments of symbolic powers of ideals of generic points in $\PP^3$