Convergence of Rees valuations of sequences of one-fibered domains

JOURNAL OF ALGEBRA

卷:530

Article

关键词: Quadratic transforms;    Rees valuations;    Limits of valuations;   

DOI  :  10.1016/j.jalgebra.2018.12.010

来源: Elsevier

【 摘 要 】

We show that for an infinite sequence {(R-n, m(n))}(n >= 0)( )of local normalized quadratic transforms of analytically unramified one-fibered Noetherian local domains, the corresponding sequence of Rees valuations converges. This extends a result of [4], where the authors show that for an infinite sequence of local quadratic transforms of regular local rings, the order valuations converge. (C) 2018 Published by Elsevier Inc.

【 授权许可】

Free