Blow-up rings and rational singularities
Blow-up rings and rational singularities
复制标题
爆炸环和有理奇点
DOI：
10.1007/s002290050147
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发表时间：
1999
影响因子：
0.6
通讯作者：
Eero Hyry
中科院分区：
文献类型：
--
作者：
Eero Hyry
翻译后摘要：设A是一个正常的局部环，它本质上是有限型的特征为零的字段。设I ∈ A是理想，使得Rees代数RA（I）是Cohen-Macaulay正规的.在本文中，我们解决的问题：“RA（I）有合理的奇点？”特别地，我们研究了RA（I）的有理奇点与In（n）的幂的伴随理想之间的联系。
Abstract:Let A be a normal local ring which is essentially finite type over a field of characteristic zero. Let I⊂A be an ideal such that the Rees algebra RA(I) is Cohen–Macaulay and normal. In this paper we address the question: “When does RA(I) have rational singularities?” In particular, we study the connection between rational singularities of RA(I) and the adjoint ideals of the powers In (n∋ℕ).