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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 number bounds for fewnomial hypersurfaces via stratified Morse theory
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by Frédéric Bihan and Frank Sottile PDF
Proc. Amer. Math. Soc. 137 (2009), 2825-2833 Request permission

Abstract:

We use stratified Morse theory for a manifold with corners to give a new bound for the sum of the Betti numbers of a fewnomial hypersurface in $\mathbb {R}^N_{>}$.
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Additional Information
  • Frédéric Bihan
  • Affiliation: Laboratoire de Mathématiques, Université de Savoie, 73376 Le Bourget-du-Lac Cedex, France
  • Email: Frederic.Bihan@univ-savoie.fr
  • Frank Sottile
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
  • MR Author ID: 355336
  • ORCID: 0000-0003-0087-7120
  • Email: sottile@math.tamu.edu
  • Received by editor(s): June 19, 2008
  • Published electronically: April 23, 2009
  • Additional Notes: The second author was supported by NSF CAREER grant DMS-0538734 and NSF grant DMS-0701050
  • Communicated by: Daniel Ruberman
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 2825-2833
  • MSC (2000): Primary 14P25
  • DOI: https://doi.org/10.1090/S0002-9939-09-09902-X
  • MathSciNet review: 2506438