@article{8c97323189a944e981c2b32309c31a7e,
title = "Stability of depths of symbolic powers of Stanley–Reisner ideals",
abstract = "We give a bound for n0(I) from which the depth function depthR/I(n) of the quotient ring by symbolic powers of a squarefree monomial ideal I stabilizes. In the unmixed codimension two case we show that depthR/I(n) is a non-increasing function of n and use this property to provide a sharp bound for n0(I).",
keywords = "Cover ideal, Depth, Stanley–Reisner ideal, Symbolic power",
author = "Hoa, {Le Tuan} and Kyouko Kimura and Naoki Terai and Trung, {Tran Nam}",
note = "Funding Information: The first and the fourth authors are partially supported by NAFOSTED (Vietnam) under the grant number 101.04-2015.02 . The second author is partially supported by JSPS 15K17507 . The third author is partially supported by JSPS 26400049 and thanks American Institute of Mathematics for giving the chance to participate in SQuaRE “Ordinary powers and symbolic powers.” All authors are grateful to the referee for his/her careful reading. Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",
year = "2017",
month = mar,
day = "1",
doi = "10.1016/j.jalgebra.2016.10.036",
language = "English",
volume = "473",
pages = "307--323",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}