| Stability results for projective modules over blowup rings |
| Manoj Kumar Keshari |
| 关键词：Affine algebra; Projective modules; Cancellation theorem |
| 主要内容：Let R be a normal affine domain of dimension n >= 3 over an algebraically closed field k.Suppose char k = 0 or char k = p >=n. Let g,f1, . . . , fr be a R-regular sequence and A = R[f1/g, . . . , fr/g]. Let P be a stably free A-module of rank n ? 1. Then, Murthy proved that there exists a projective R-module Q such that Q?R A = P and n?1 Q= R [9, Theorem 2.10]. As a consequence of Murthy’s result, if f, g ∈ C[X1, . . . , Xn] with g = 0, then all stably free modules over C[X1, . . . , Xn,f/g] of rank >= n - 1 are free [9, Corollary 2.11]. In this paper, we prove the following result (3.5), which generalizes the above result of Murthy... |
| 《2005 Elsevier》 |
| 全文下载请进入http://hightech.stlib.cn/tpi_1/sysasp/include/index.asp |
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