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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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The possible extremal Betti numbers of a homogeneous ideal
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by Jürgen Herzog, Leila Sharifan and Matteo Varbaro PDF
Proc. Amer. Math. Soc. 142 (2014), 1875-1891 Request permission

Abstract:

We give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of any homogeneous ideal in a polynomial ring over a field of characteristic $0$.
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Additional Information
  • Jürgen Herzog
  • Affiliation: Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany
  • MR Author ID: 189999
  • Email: juergen.herzog@uni-essen.de
  • Leila Sharifan
  • Affiliation: Department of Mathematics, Hakim Sabzevari University, Sabzevar, Iran
  • Email: leila-sharifan@aut.ac.ir
  • Matteo Varbaro
  • Affiliation: Dipartimento di Matematica, Università degli Studi di Genova, Genova, Italy
  • MR Author ID: 873871
  • Email: varbaro@dima.unige.it
  • Received by editor(s): December 24, 2011
  • Received by editor(s) in revised form: May 26, 2012, and July 2, 2012
  • Published electronically: February 27, 2014
  • Communicated by: Irena Peeva
  • © Copyright 2014 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 1875-1891
  • MSC (2010): Primary 13D02
  • DOI: https://doi.org/10.1090/S0002-9939-2014-11920-4
  • MathSciNet review: 3182008