Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Implicitization of tensor product surfaces via virtual projective resolutions
HTML articles powered by AMS MathViewer

by Eliana Duarte and Alexandra Seceleanu HTML | PDF
Math. Comp. 89 (2020), 3023-3056


We derive the implicit equations for certain parametric surfaces in three-dimensional projective space termed tensor product surfaces. Our method computes the implicit equation for such a surface based on the knowledge of the syzygies of the base point locus of the parametrization by means of constructing an explicit virtual projective resolution.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2010): 13P15, 13D02, 14Q10
  • Retrieve articles in all journals with MSC (2010): 13P15, 13D02, 14Q10
Additional Information
  • Eliana Duarte
  • Affiliation: Max-Planck-Institute for Mathematics in the Sciences, Leipzig; Otto-von-Guericke Universität, Magdeburg
  • MR Author ID: 1132228
  • Email:
  • Alexandra Seceleanu
  • Affiliation: Mathematics Department, University of Nebraska–Lincoln, Lincoln, Nebraska 68588
  • MR Author ID: 896988
  • ORCID: 0000-0002-7929-5424
  • Email:
  • Received by editor(s): August 6, 2019
  • Received by editor(s) in revised form: March 1, 2020
  • Published electronically: June 29, 2020
  • Additional Notes: The first author was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)-314838170, GRK2297 MathCoRe.
    The second author was supported by NSF grant DMS–1601024 and EpSCOR award OIA–1557417.
  • © Copyright 2020 Eliana Duarte and Alexandra Seceleanu
  • Journal: Math. Comp. 89 (2020), 3023-3056
  • MSC (2010): Primary 13P15; Secondary 13D02, 14Q10
  • DOI:
  • MathSciNet review: 4136556