0000000000329360

AUTHOR

Beatrice Picone

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

2019

In this paper, we investigate special arrangements of lines in multiprojective spaces. In particular, we characterize codimension 2 arithmetically Cohen–Macaulay (ACM) varieties in [Formula: see text], called varieties of lines. We also describe their ACM property from a combinatorial algebra point of view.

Pure mathematicsAlgebra and Number TheoryMathematics::Commutative AlgebraConfiguration of linesApplied Mathematics010102 general mathematicsarithmetically Cohen-Macaulay; Configuration of lines; multiprojective spaces0102 computer and information sciencesCodimension01 natural sciencesSettore MAT/02 - Algebraarithmetically Cohen-Macaulay010201 computation theory & mathematicsarithmetically Cohen–Macaulay Configuration of lines multiprojective spacesArithmetically Cohen-Macaulay Configuration of lines multiprojective spacesComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONSettore MAT/03 - Geometria0101 mathematicsarithmetically Cohen–Macaulaymultiprojective spacesMathematics
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