Special arrangements of lines: codimension two ACM varieties in $\mathbb P^1\times\mathbb P^1\times\mathbb P^1$

Giuseppe Favacchio; Elena Guardo; Beatrice Picone

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arXiv · 1707.06863

Special arrangements of lines: codimension two ACM varieties in $\mathbb P^1\times\mathbb P^1\times\mathbb P^1$

Giuseppe Favacchio·Elena Guardo·Beatrice Picone

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Abstract

In this paper we investigate special arrangements of lines in multiprojective spaces. In particular, we characterize codimensional two arithmetically Cohen-Macaulay (ACM) varieties in $\mathbb P^1\times\mathbb P^1\times\mathbb P^1$, called varieties of lines. We also describe their ACM property from combinatorial algebra point of view.

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Giuseppe Favacchio, Elena Guardo, Beatrice Picone. 2017-07-21. Special arrangements of lines: codimension two ACM varieties in $\mathbb P^1\times\mathbb P^1\times\mathbb P^1$. https://arxiv.org/abs/1707.06863

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