arXiv 1702.030582017-02-10math.AC

Directed unions of local quadratic transforms of regular local rings and pullbacks

Lorenzo Guerrieri, William Heinzer, Bruce Olberding, Matt Toeniskoetter

备注：: 23 pages; comments welcome

英文摘要：

Let $\{ R_n, {\mathfrak m}_n \}_{n \ge 0}$ be an infinite sequence of regular local rings with $R_{n+1}$ birationally dominating $R_n$ and ${\mathfrak m}_nR_{n+1}$ a principal ideal of $R_{n+1}$ for each $n$. We examine properties of the integrally closed local domain $S = \bigcup_{n \ge 0}R_n$.

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