2 papers
math.AG2024
Improved fewnomial upper bounds from Wronskians and dessins d'enfant
Boulos El Hilany, Sébastien Tavenas
We use Grothendieck's dessins d'enfant to show that if and are two real polynomials, any real function of the form , has at most roots in the…
math.AG2022
New bounds for the number of connected components of fewnomial hypersurfaces
Frédéric Bihan, Tristan Humbert, Sébastien Tavenas
We prove that the number of connected components of a smooth hypersurface in the positive orthant of defined by a real polynomial with monomials, where $…