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GIUSEPPE FAVACCHIO

Special arrangements of lines: Codimension 2 ACM varieties in P 1 × P 1 × P 1

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.