Postulation of general quartuple fat point schemes in P^3

Details Postulation of general quartuple fat point schemes in P^3 Postulation of general quartuple fat point schemes in P^3

2008-10-08

arxiv.org/abs/0810.1372v1

Journal of Pure and Applied Algebra, 213 (2009) 5, 1002-1012

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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