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On the computation of a-invariants

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Abstract

Thea-invariant of a graded Cohen-Macaulay ring is the least degree of a generator of its graded canonical module. We compute thea-invariants of (i) graded algebras with straightening laws on upper semi-modular lattices and (ii) the Stanley-Reisner rings of shellable weighted simplicial complexes. The formulas obtained are applied to rings defined by determinantal and pfaffian ideals.

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Authors and Affiliations

  1. Standort Vechta, Universität Osnabrück, D-W-2848, Vechta

    Winfried Bruns & Jürgen Herzog

  2. FB Mathematik u. Informatik, Universität Essen, D-W-4300, Essen

    Winfried Bruns & Jürgen Herzog

Authors
  1. Winfried Bruns
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  2. Jürgen Herzog
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Bruns, W., Herzog, J. On the computation of a-invariants. Manuscripta Math 77, 201–213 (1992). https://doi.org/10.1007/BF02567054

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  • DOI: https://doi.org/10.1007/BF02567054

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