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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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The ideal of the trifocal variety
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by Chris Aholt and Luke Oeding PDF
Math. Comp. 83 (2014), 2553-2574 Request permission


Techniques from representation theory, symbolic computational algebra, and numerical algebraic geometry are used to find the minimal generators of the ideal of the trifocal variety. An effective test for determining whether a given tensor is a trifocal tensor is also given.
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Additional Information
  • Chris Aholt
  • Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
  • Email:
  • Luke Oeding
  • Affiliation: Department of Mathematics, University of California Berkeley, Berkeley, California 94720
  • Address at time of publication: Department of Mathematics and Statistics, 336 Parker Hall, Auburn University, Auburn, Alabama 36849
  • Email:
  • Received by editor(s): June 22, 2012
  • Received by editor(s) in revised form: January 27, 2013
  • Published electronically: April 17, 2014
  • Additional Notes: The second author was partially supported by NSF RTG Award # DMS-0943745
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 83 (2014), 2553-2574
  • MSC (2010): Primary 13Pxx, 14Qxx; Secondary 15A69, 15A72, 68T45
  • DOI:
  • MathSciNet review: 3223346