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Betti number bounds for fewnomial hypersurfaces via stratified Morse theory
Author(s):
Frédéric
Bihan;
Frank
Sottile
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2825-2833.
MSC (2000):
Primary 14P25
Posted:
April 23, 2009
MathSciNet review:
2506438
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Additional information
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  .
References:
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- F. Bihan, J.M. Rojas, and F. Sottile, Sharpness of fewnomial bounds and the number of components of a fewnomial hypersurface, Algorithms in Algebraic Geometry (A. Dickenstein, F. Schreyer, and A. Sommese, eds.), IMA Volumes in Mathematics and its Applications, vol. 146, Springer, 2008, pp. 15-20. MR 2397935
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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:
10.1090/S0002-9939-09-09902-X
PII:
S 0002-9939(09)09902-X
Keywords:
Stratified Morse theory,
fewnomials,
Betti numbers
Received by editor(s):
June 19, 2008
Posted:
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 of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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