Buchsbaum Stanley–Reisner rings with minimal multiplicity

Terai, Naoki; Yoshida, Ken-ichi

doi:10.1090/S0002-9939-05-08176-1

Buchsbaum Stanley–Reisner rings with minimal multiplicity
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by Naoki Terai and Ken-ichi Yoshida PDF

Proc. Amer. Math. Soc. 134 (2006), 55-65 Request permission

Abstract:

In this paper, we study Buchsbaum Stanley–Reisner rings with linear free resolution. We introduce the notion of Buchsbaum Stanley–Reisner rings with minimal multiplicity of initial degree $q$, which extends the notion of Buchsbaum rings with minimal multiplicity defined by Goto. As an application, we give many examples of non-Cohen–Macaulay Buchsbaum Stanley–Reisner rings with linear resolution.

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