Journal of Commutative Algebra

On growth in minimal totally acyclic complexes

Petter Andreas Bergh and David A. Jorgensen

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Given a commutative Noetherian local ring, we provide a criterion under which a minimal totally acyclic complex of free modules has symmetric growth. As a special case, we show that, whenever an image in the complex has finite complete intersection dimension, then the complex has symmetric polynomial growth.

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J. Commut. Algebra, Volume 6, Number 1 (2014), 17-31.

First available in Project Euclid: 2 June 2014

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Primary: 13D07: Homological functors on modules (Tor, Ext, etc.) 13D25 18E30: Derived categories, triangulated categories

Totally acyclic complexes symmetric growth finitely generated cohomology


Bergh, Petter Andreas; Jorgensen, David A. On growth in minimal totally acyclic complexes. J. Commut. Algebra 6 (2014), no. 1, 17--31. doi:10.1216/JCA-2014-6-1-17.

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