@article{bd9bc5a744914d799c58c25d58cf395e,
title = "Lefschetz properties for complete intersection ideals generated by products of linear forms",
abstract = "In this paper, we study the strong Lefschetz property of artinian complete intersection ideals generated by products of linear forms. We prove the strong Lefschetz property for a class of such ideals with binomial generators.",
keywords = "Complete intersection, Hilbert function, Initial ideals, Monomial ideals, Strong Lefschetz property",
author = "Martina Juhnke-Kubitzke and Mir{\'o}-Roig, {Rosa M.} and Satoshi Murai and Akihito Wachi",
note = "Funding Information: The first author was sponsored by the German Research Council DFG GRK-1916, the second author was sponsored by MTM2016-78623-P, the third author was sponsored by JSPS KAKENHI Grant 16K05102, and the fourth author was sponsored by JSPS KAKENHI Grant 15K04812.This work was started at the workshop “Lefschetz Properties in Algebra, Geometry and Combinatorics”, held at the Mittag-Leffler Institute (MLI) in July 2017. The authors thank MLI for its kind hospitality. Funding Information: Received by the editors August 19, 2017 and, in revised form, October 21, 2017. 2010 Mathematics Subject Classification. Primary 13E10, 13C13, 13C40. Key words and phrases. Strong Lefschetz property, initial ideals, monomial ideals, complete intersection, Hilbert function. The first author was sponsored by the German Research Council DFG GRK-1916, the second author was sponsored by MTM2016-78623-P, the third author was sponsored by JSPS KAKENHI Grant 16K05102, and the fourth author was sponsored by JSPS KAKENHI Grant 15K04812. Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.",
year = "2018",
doi = "10.1090/proc/14009",
language = "English",
volume = "146",
pages = "3249--3256",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "8",
}