Katz, Daniel ; Kodiyalam, Vijay (1997) Symmetric powers of complete modules over a two-dimensional regular local ring Transactions of the American Mathematical Society, 349 (02). pp. 747-762. ISSN 0002-9947
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Official URL: http://www.ams.org/journals/tran/1997-349-02/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9947-97-01819-9
Abstract
Let (R, m) be a two-dimensional regular local ring with infinite residue field. For a finitely generated, torsion-free R-module A, write An for the nth symmetric power of A, mod torsion. We study the modules An , n ≥ 1, when A is complete (i.e., integrally closed). In particular, we show that B·A = A2 , for any minimal reduction B⊆A and that the ring ⊕n≥1 An is Cohen-Macaulay.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Mathematical Society. |
ID Code: | 109111 |
Deposited On: | 25 Oct 2017 13:11 |
Last Modified: | 25 Oct 2017 13:11 |
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