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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Koszul homology of codimension 3 Gorenstein ideals
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by Steven V Sam and Jerzy Weyman PDF
Proc. Amer. Math. Soc. 142 (2014), 401-408 Request permission

Abstract:

In this note, we calculate the Koszul homology of the codimension 3 Gorenstein ideals. We find filtrations for the Koszul homology in terms of modules with pure free resolutions and completely describe these resolutions. We also consider the Huneke–Ulrich deviation 2 ideals.
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Additional Information
  • Steven V Sam
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Address at time of publication: Department of Mathematics, University of California, Berkeley, California 94704
  • MR Author ID: 836995
  • ORCID: 0000-0003-1940-9570
  • Email: svs@math.berkeley.edu
  • Jerzy Weyman
  • Affiliation: Department of Mathematics, Northeastern University, Boston, Massachusetts 02115
  • Address at time of publication: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
  • MR Author ID: 182230
  • ORCID: 0000-0003-1923-0060
  • Email: j.weyman@neu.edu
  • Received by editor(s): March 23, 2012
  • Published electronically: October 30, 2013
  • Communicated by: Harm Derksen
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 401-408
  • MSC (2010): Primary 13D02
  • DOI: https://doi.org/10.1090/S0002-9939-2013-12065-4
  • MathSciNet review: 3133982