In this paper, we investigate special arrangements of lines in multiprojective spaces. In particular, we characterize codimension 2 arithmetically Cohen-Macaulay (ACM) varieties in P 1 × P 1 × P 1 , called varieties of lines. We also describe their ACM property from a combinatorial algebra point of view.
Favacchio G., Guardo E., Picone B. (2019). Special arrangements of lines: Codimension 2 ACM varieties in P 1 × P 1 × P 1. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 18(4), 1950073 [10.1142/S0219498819500737].
Special arrangements of lines: Codimension 2 ACM varieties in P 1 × P 1 × P 1
Favacchio G.;
2019-01-01
Abstract
In this paper, we investigate special arrangements of lines in multiprojective spaces. In particular, we characterize codimension 2 arithmetically Cohen-Macaulay (ACM) varieties in P 1 × P 1 × P 1 , called varieties of lines. We also describe their ACM property from a combinatorial algebra point of view.
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