Special arrangements of lines: Codimension 2 ACM varieties in ℙ1 × ℙ1 × ℙ1-Reference-Cited by-同舟云学术

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

Published:2019-03-25 Issue:04 Volume:18 Page:1950073
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Favacchio Giuseppe¹,Guardo Elena¹,Picone Beatrice¹

Affiliation:

1. Dipartimento di Matematica e Informatica, Viale A. Doria, 6, 95100 Catania, Italy

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 [Formula: see text], called varieties of lines. We also describe their ACM property from a combinatorial algebra point of view.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498819500737

Reference20 articles.

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2. Ranks of tensors, secant varieties of Segre varieties and fat points

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