Noncomplete intersection prime ideals in dimension 3

Shiro Goto; Liam O’Carroll; Francesc Planas-Vilanova

doi:10.1215/21562261-2871794

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Home > Journals > Kyoto J. Math. > Volume 55 > Issue 2 > Article

June 2015 Noncomplete intersection prime ideals in dimension

3

Shiro Goto, Liam O’Carroll, Francesc Planas-Vilanova

Kyoto J. Math. 55(2): 461-475 (June 2015). DOI: 10.1215/21562261-2871794

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Abstract

We describe prime ideals of height $2$ minimally generated by three elements in a Gorenstein, Nagata local ring of Krull dimension $3$ and multiplicity at most $3$ . This subject is related to a conjecture of Y. Shimoda and to a long-standing problem of J. Sally.

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Shiro Goto. Liam O’Carroll. Francesc Planas-Vilanova. "Noncomplete intersection prime ideals in dimension $3$ ." Kyoto J. Math. 55 (2) 461 - 475, June 2015. https://doi.org/10.1215/21562261-2871794