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arXiv · 0710.1178

The structure of Sally modules of rank one

Shiro Goto·Koji Nishida·Kazuho Ozeki
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Abstract

A complete structure theorem of Sally modules of $\fkm$-primary ideals $I$ in a Cohen-Macaulay local ring $(A, \m)$ satisfying the equality $\e_1(I)=\e_0(I)-\ell_A(A/I)+1$ is given, where $\e_0(I)$ and $\e_1(I)$ denote the first two Hilbert coefficients of $I$.

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Shiro Goto, Koji Nishida, Kazuho Ozeki. 2007-10-05. The structure of Sally modules of rank one. https://arxiv.org/abs/0710.1178

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