Abstract
We study H. Dao’s invariant \({\eta_c^R}\) of pairs of modules defined over a complete intersection ring R of codimension c having an isolated singularity. Our main result is that \({\eta_c^R}\) vanishes for all pairs of modules when R is a graded complete intersection ring of codimension c > 1 having an isolated singularity. A consequence of this result is that all pairs of modules over such a ring are c-Tor-rigid.
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M. E. Walker was supported in part by NSF grant DMS-0601666.
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Moore, W.F., Piepmeyer, G., Spiroff, S. et al. The vanishing of a higher codimension analogue of Hochster’s theta invariant. Math. Z. 273, 907–920 (2013). https://doi.org/10.1007/s00209-012-1037-5
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DOI: https://doi.org/10.1007/s00209-012-1037-5