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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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Betti tables of reducible algebraic curves
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by Juliette Bruce, Pin-Hung Kao, Evan D. Nash, Ben Perez and Peter Vermeire PDF
Proc. Amer. Math. Soc. 142 (2014), 4039-4051 Request permission

Abstract:

We study the Betti tables of reducible algebraic curves with a focus on connected line arrangements and provide a general formula for computing the quadratic strand of the Betti table for line arrangements that satisfy certain hypotheses. We also give explicit formulas for the entries of the Betti tables for all curves of genus zero and one. Last, we give formulas for the graded Betti numbers for a class of curves of higher genus.
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Additional Information
  • Juliette Bruce
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
  • Pin-Hung Kao
  • Affiliation: Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859
  • Email: kao1p@cmich.edu
  • Evan D. Nash
  • Affiliation: Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588
  • Email: e_nash@cox.net
  • Ben Perez
  • Affiliation: Department of Mathematics, St. Olaf College, Northfield, Minnesota 55057
  • Email: perez@stolaf.edu
  • Peter Vermeire
  • Affiliation: Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859
  • MR Author ID: 676175
  • Email: p.vermeire@cmich.edu
  • Received by editor(s): October 17, 2012
  • Received by editor(s) in revised form: January 24, 2013
  • Published electronically: August 14, 2014
  • Additional Notes: The first, third, and fourth authors were supported by NSF grant DMS-1156890.
  • Communicated by: Irena Peeva
  • © Copyright 2014 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 4039-4051
  • MSC (2010): Primary 13D02; Secondary 14N05, 14H99, 14N20, 14Q05
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12158-7
  • MathSciNet review: 3266976