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- W4291612424 abstract "Let $I$ be an ideal of height $d$ in a regular local ring $(R,m,k=R/m)$ of dimension $n$ and let $Omega$ denote the canonical module of $R/I$. In this paper we first prove the equivalence of the following: the non-vanishing of the edge homomorphism $eta_d: ext{R}{n-d}{k,Omega} rightarrow ext{R}{n}{k,R}$, the validity of the order ideal conjecture for regular local rings, and the validity of the monomial conjecture for all local rings. Next we prove several special cases of the order ideal conjecture/monomial conjecture." @default.
- W4291612424 created "2022-08-15" @default.
- W4291612424 creator A5063523652 @default.
- W4291612424 date "2015-06-21" @default.
- W4291612424 modified "2023-09-29" @default.
- W4291612424 title "The Monomial Conjecture and order ideals II" @default.
- W4291612424 doi "https://doi.org/10.48550/arxiv.1506.06420" @default.
- W4291612424 hasPublicationYear "2015" @default.
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