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arXiv · 0810.1372

Postulation of general quartuple fat point schemes in P^3

Edoardo Ballico·Maria Chiara Brambilla
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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.

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Edoardo Ballico, Maria Chiara Brambilla. 2008-10-08. Postulation of general quartuple fat point schemes in P^3. https://arxiv.org/abs/0810.1372

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