Betti number bounds for fewnomial hypersurfaces via stratified Morse theory

Frederic Bihan (1) , Frank Sottile (2)

1 LAMA - Laboratoire de Mathématiques
2 Department of Mathematics [Texas A&M University]

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 the positive orthant R^N_>.

Domaines: Géométrie algébrique [math.AG]

Frederic Bihan, Frank Sottile. Betti number bounds for fewnomial hypersurfaces via stratified Morse theory. Proceedings of the American Mathematical Society, 2009, 137, 8 p. ⟨hal-00380175⟩