Abstract
In this paper, we introduce the notion of \({p_{g}}\)-ideals and \({p_{g}}\)-cycles, which inherits nice properties of integrally closed ideals on rational singularities. As an application, we prove an existence of good ideals for two-dimensional Gorenstein normal local rings. Moreover, we classify all Ulrich ideals for two-dimensional simple elliptic singularities.
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This work was partially supported by JSPS Grant-in-Aid for Scientific Research (C) Grant Numbers 23540068, 23540059, 25400050.
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Okuma, T., Watanabe, Ki. & Yoshida, Ki. Good ideals and \({p_{g}}\)-ideals in two-dimensional normal singularities. manuscripta math. 150, 499–520 (2016). https://doi.org/10.1007/s00229-016-0821-7
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DOI: https://doi.org/10.1007/s00229-016-0821-7