Criteria for vanishing of Tor over Complete Intersections
| Autor: | Celikbas, Olgur, Iyengar, Srikanth B., Piepmeyer, Greg, Wiegand, Roger |
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| Rok vydání: | 2014 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper we exploit properties of Dao's eta-pairing as well as techniques of Huneke, Jorgensen, and Wiegand to study the vanishing of Tor_i(M,N) of finitely generated modules M, N over complete intersections. We prove vanishing of Tor_i(M, N) for all positive integers i under depth conditions on M, N, and their tensor product. Our arguments improve a result of Dao and establish a new connection between the vanishing of Tor and the depth of tensor products. Comment: 18 pages; to appear in the Pacific Journal of Math. arXiv admin note: text overlap with arXiv:1302.1852 |
| Databáze: | arXiv |
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