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math.AG2025
Around the topological classification problem of polynomial maps: A survey
Boulos El Hilany
The study of the topology of polynomial maps originates from classical questions in affine geometry, such as the Jacobian Conjecture, as well as from works of Whitney, Thom, and Ma…
math.AG2017
Constructing polynomial systems with many positive solutions using tropical geometry
Boulos El Hilany
The number of positive solutions of a system of two polynomials in two variables defined in the field of real numbers with a total of five distinct monomials cannot exceed 15. All…