@article{6fce8514e69443b7b485cc0761269018,
title = "On complex supersolvable line arrangements",
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.",
author = "Takuro Abe and Alexandru Dimca",
note = "Funding Information: This work is partially supported by KAKENHI, JSPS Grant-in-Aid for Scientific Research (B) 16H03924.This work has been supported by the French government, through the UCAJEDI Investments in the Future project managed by the French National Research Agency (ANR) with the reference number ANR-15-IDEX-01 and by the Romanian Ministry of Research and Innovation, CNCS - UEFISCDI, grant PN-III-P4-ID-PCE-2016-0030, within PNCDI III. Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",
year = "2020",
month = jun,
day = "15",
doi = "10.1016/j.jalgebra.2020.02.007",
language = "English",
volume = "552",
pages = "38--51",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}