A Briançon–Skoda Theorem for Isolated Singularities
A Briançon–Skoda Theorem for Isolated Singularities
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孤立奇点的布里昂松-斯科达定理
DOI：
10.1006/jabr.1997.7386
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发表时间：
1998
影响因子：
0.9
通讯作者：
U. OrlandoVillamayor
中科院分区：
文献类型：
--
作者：
Eero Hyry;U. OrlandoVillamayor
设Abe是正规Cohen-Macaulay局部环，它是Gorenstein局部环的同态象。假设A在收缩谱中是伪有理的，并且存在一个真双有理态射mX → Spec A使得X是伪有理的，我们证明了如何找到一个整数k> 0使得对于所有理想I <$A和整数n ≥ 0，In + k ≠ In.
Abstract LetAbe a normal Cohen–Macaulay local ring which is a homomorphic image of a Gorenstein local ring. Supposing thatAis pseudo-rational in the punctured spectrum, and that there exists a proper birational morphismX → Spec Asuch thatXis pseudo-rational, we show how one can find an integerk > 0 such that I n + k ⊂ Infor all idealsI ⊂ Aand integersn ≥ 0.