Special arrangements of lines: Codimension 2 ACM varieties in P1 x P1 x P1

被引：3
|
作者：
Favacchio, Giuseppe [1 ]
Guardo, Elena [1 ]
Picone, Beatrice [1 ]
机构：
[1] Dipartimento Matemat & Informat, Viale A Doria 6, I-95100 Catania, Italy
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 04期
关键词：
Configuration of lines; multiprojective spaces; arithmetically Cohen-Macaulay; HIGHER SECANT VARIETIES; HILBERT-FUNCTIONS; SEGRE VARIETIES; POINTS; SETS;
D O I：
10.1142/S0219498819500737
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 x P-1 x P-1, called varieties of lines. We also describe their ACM property from a combinatorial algebra point of view.
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页数：22
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