Ulrich ideals and modules of two-dimensional rational singularities
Ulrich ideals and modules of two-dimensional rational singularities
复制标题
二维有理奇点的乌尔里希理想和模
DOI：
10.1017/nmj.2015.1
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Shiro Goto; Kazuho Ozeki; Ryo Takahashi; Kei-ichi Watanabe; Ken-ichi Yoshida
中科院分区：
文献类型：
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作者：
根津智子;車谷典男;岩坂英巳ら;Shigeru Kuroda;藤森裕治;Shiro Goto; Kazuho Ozeki; Ryo Takahashi; Kei-ichi Watanabe; Ken-ichi Yoshida
本文的主要目的是从几何角度对二维Gorenstein有理奇点（有理双点）上的Ulrich理想和Ulrich模进行分类。为了达到这个目的，我们引入了关于理想的（弱）特殊Cohen-Macaulay模的概念，并研究了这些模与关于好理想的Ulrich模之间的关系。
The main aim of this paper is to classify Ulrich ideals and Ulrich modules over two-dimensional Gorenstein rational singularities (rational double points) from a geometric point of view. To achieve this purpose, we introduce the notion of (weakly) special Cohen–Macaulay modules with respect to ideals, and study the relationship between those modules and Ulrich modules with respect to good ideals.