The fundamental module of a normal local domain of dimension $2$
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- by Yuji Yoshino and Takuji Kawamoto PDF
- Trans. Amer. Math. Soc. 309 (1988), 425-431 Request permission
Abstract:
The fundamental module $E$ of a normal local domain $(R, \mathfrak {m})$ of dimension $2$ is defined by the nonsplit exact sequence $0 \to K \to E \to \mathfrak {m} \to 0$, where $K$ is the canonical module of $R$. We prove that, if $R$ is complete with $R/\mathfrak {m} \simeq \mathbb {C}$, then $E$ is decomposable if and only if $R$ is a cyclic quotient singularity. Various other properties of fundamental modules will be discussed.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 309 (1988), 425-431
- MSC: Primary 13H10; Secondary 13C13, 14B05, 14J17
- DOI: https://doi.org/10.1090/S0002-9947-1988-0957079-7
- MathSciNet review: 957079