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arXiv · 0904.1408

Vanishing of Tor Over Complete Intersections

Olgur Celikbas
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Abstract

In this paper we are concerned with the vanishing of $\textnormal{Tor}$ over complete intersection rings. Building on results of C. Huneke, D. Jorgensen and R. Wiegand, and, more recently, H. Dao, we obtain new results showing that good depth properties on the $R$-modules $M$, $N$ and $M\otimes_RN$ force the vanishing of $\textnormal{Tor}^{R}_{i}(M,N)$ for all $i\geq 1$.

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Olgur Celikbas. 2009-04-08. Vanishing of Tor Over Complete Intersections. https://doi.org/10.1216/jca-2011-3-2-169

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