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Complete intersection dimension

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Abstract

A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, 47907, West Lafayette, Indiana

    Luchezar L. Avramov

  2. Department of Mathematics, Brandeis University, 02254, Waltham, Massachusetts

    Vesselin N. Gasharov

  3. Department of Mathematics, Brandeis University, 02254, Waltham, Massachusetts

    Irena V. Peeva

Authors
  1. Luchezar L. Avramov
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  2. Vesselin N. Gasharov
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  3. Irena V. Peeva
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Additional information

The first author was partly supported by NSF Grant No. DMS-9102951.

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Avramov, L.L., Gasharov, V.N. & Peeva, I.V. Complete intersection dimension. Publications Mathématiques de L’Institut des Hautes Scientifiques 86, 67–114 (1997). https://doi.org/10.1007/BF02698901

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  • DOI: https://doi.org/10.1007/BF02698901

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