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Proceedings of the American Mathematical Society

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Betti number bounds for fewnomial hypersurfaces via stratified Morse theory


Authors: Frédéric Bihan and Frank Sottile
Journal: Proc. Amer. Math. Soc. 137 (2009), 2825-2833
MSC (2000): Primary 14P25
DOI: https://doi.org/10.1090/S0002-9939-09-09902-X
Published electronically: April 23, 2009
MathSciNet review: 2506438
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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
Email: sottile@math.tamu.edu

DOI: https://doi.org/10.1090/S0002-9939-09-09902-X
Keywords: Stratified Morse theory, fewnomials, Betti numbers
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
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.