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arXiv · 1802.10178

On the containment problem for fat points

Iman Bahmani Jafarloo·Giuseppe Zito
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Abstract

Given an ideal $I$, the containment problem is concerned about finding the values $m$ and $n$ such that the $m$-th symbolic power of $I$ is contained in its $n$-th ordinary power. In this paper we consider this problem focusing on two classes of ideals of fat points. In particular we study the ideal of $n$ points on a line in $\mathbb{P}^N$ and the ideal of three nonlinear points in $\mathbb{P}^N$ for $N\geq2$.

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Iman Bahmani Jafarloo, Giuseppe Zito. 2018-02-27. On the containment problem for fat points. https://arxiv.org/abs/1802.10178

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