Betti number bounds for fewnomial hypersurfaces via stratified Morse theory

Bihan, Frédéric; Sottile, Frank

doi:10.1090/S0002-9939-09-09902-X

Betti number bounds for fewnomial hypersurfaces via stratified Morse theory
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by Frédéric Bihan and Frank Sottile

Proc. Amer. Math. Soc. 137 (2009), 2825-2833

DOI: https://doi.org/10.1090/S0002-9939-09-09902-X

Published electronically: April 23, 2009

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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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