On complex supersolvable line arrangements

Takuro Abe; Alexandru Dimca

doi:10.1016/j.jalgebra.2020.02.007

On complex supersolvable line arrangements

Takuro Abe, Alexandru Dimca

Division of Fundamental mathematics

Research output: Contribution to journal › Article

Abstract

We show that the number of lines in an m–homogeneous supersolvable line arrangement is upper bounded by 3m−3 and we classify the m–homogeneous supersolvable line arrangements with two modular points up-to lattice-isotopy. We also prove the nonexistence of unexpected curves for supersolvable line arrangements obtained as cones over generic line arrangements, or cones over arbitrary line arrangements having a generic vertex.

Original language	English
Pages (from-to)	38-51
Number of pages	14
Journal	Journal of Algebra
Volume	552
DOIs	https://doi.org/10.1016/j.jalgebra.2020.02.007
Publication status	Published - Jun 15 2020

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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Abe, T., & Dimca, A. (2020). On complex supersolvable line arrangements. Journal of Algebra, 552, 38-51. https://doi.org/10.1016/j.jalgebra.2020.02.007

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Access to Document

10.1016/j.jalgebra.2020.02.007