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- W2004697218 abstract "Let R be a normal affine domain of dimension n 3 over an algebraically closed field k. Suppose chark = 0 or chark = 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." @default.
- W2004697218 created "2016-06-24" @default.
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- W2004697218 date "2005-12-01" @default.
- W2004697218 modified "2023-09-27" @default.
- W2004697218 title "Stability results for projective modules over blowup rings" @default.
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- W2004697218 doi "https://doi.org/10.1016/j.jalgebra.2005.03.014" @default.
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