Non-Gorenstein Isolated Singularities of Graded Countable Cohen–Macaulay Type
Non-Gorenstein Isolated Singularities of Graded Countable Cohen–Macaulay Type
复制标题
分级可数Cohen-Macaulay型的非Gorenstein孤立奇点
DOI：
10.1007/978-1-4939-0626-0_9
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Branden Stone
中科院分区：
文献类型：
--
作者：
Branden Stone
本文部分回答了Huneke和Leuschke(Proc.上午好。数学课。SoC。131(10)：3003-3007,2003)：设R是分次可数Cohen-Macaulay表示型的标准分次Cohen-Macaulay环，并假设R有一个孤立奇点。Rten必然是分次有限Cohen-Macaulay表示型吗？特别地，这个问题对标准分次非Gorenstein环和最小重数的标准分次Gorenstein环都有肯定的回答。在此过程中，我们得到了分次可数Cohen-Macaulay型分次Cohen-Macaulay环的部分分类。
In this article we show a partial answer to a question of Huneke and Leuschke (Proc. Am. Math. Soc. 131(10):3003–3007, 2003): LetRbe a standard graded Cohen–Macaulay ring of graded countable Cohen–Macaulay representation type, and assume thatRhas an isolated singularity. IsRthen necessarily of graded finite Cohen–Macaulay representation type? In particular, this question has an affirmative answer for standard graded non-Gorenstein rings as well as for standard graded Gorenstein rings of minimal multiplicity. Along the way, we obtain a partial classification of graded Cohen–Macaulay rings of graded countable Cohen–Macaulay type.
影响因子：
0.9
作者：
A. Duncan
通讯作者：
A. Duncan