The structure of Sally modules of rank one

• Autores: Shiro Goto, Koji Nishida, Kazuho Ozeki
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 5-6, 2008, págs. 881-892
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n5.a5
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• Resumen

  • 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 $I$.