2 papers
math.AG2025
Sparse systems with high local multiplicity
Frédéric Bihan, Alicia Dickenstein, Jens Forsgård
Consider a sparse system of n Laurent polynomials in n variables with complex coefficients and support in a finite lattice set A. The maximal number of isolated roots of the system…
math.AG2024
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 $…