The Buchsbaum property of symbolic powers of Stanley–Reisner ideals of dimension 1

Abstract: Let be a polynomial ring and be the Stanley–Reisner ideal of a simplicial complex . The purpose of this paper is investigating the Buchsbaum property of when is pure dimension 1. We shall characterize the Buchsbaumness of in terms of the graphical property of . That is closely related to the characterization of the Cohen–Macaulayness of due to the first author and N.V. Trung. [Copyright &y& Elsevier]