Rees algebras and $p_g$-ideals in a two-dimensional normal local domain

Rees algebras and $p_g$-ideals in a two-dimensional normal local domain
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二维正规局部域中的里斯代数和 $p_g$-理想

DOI：
10.1090/proc/13235
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发表时间：
2017
期刊：
Proc. Amer. Math. Soc.
影响因子：
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通讯作者：
T. Okuma，K. Watanabe and K. Yoshida
T. Okuma，K. Watanabe and K. Yoshida
中科院分区：
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文献类型：
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作者：
江川悟;久米健大;竹尾陽子;斎藤貴宏;武井良憲;三村秀和;T. Okuma，K. Watanabe and K. Yoshida

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作者在以前的研究中引入了代数闭域上二维优良正规局部域的-理想的概念。本文给出了-理想的几个环论刻画。例如，准素理想是准素理想当且仅当Rees代数是Cohen-Macaulay正规整环。引用
The authors previously introduced the notion of-ideals for two-dimensional excellent normal local domain over an algebraically closed field in terms of resolution of singularities. In this note, we give several ring-theoretic characterizations of-ideals. For instance, an-primary idealis a-ideal if and only if the Rees algebrais a Cohen-Macaulay normal domain. References