The structure of Sally modules of rank one

Shiro Goto; Koji Nishida; Kazuho Ozeki

The structure of Sally modules of rank one

Commutative Algebra 2007-10-08 v1 Algebraic Geometry

Authors: Shiro Goto , Koji Nishida , Kazuho Ozeki

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 $I$ .

Keywords

sally module cohen-macaulay local ring hilbert coefficients primary ideal rank one

Cite

@article{arxiv.0710.1178,
  title  = {The structure of Sally modules of rank one},
  author = {Shiro Goto and Koji Nishida and Kazuho Ozeki},
  journal= {arXiv preprint arXiv:0710.1178},
  year   = {2007}
}

Comments

16 pages

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