59:12
published on October 24, 2025
Problèmes ouverts et progrès récents en géométrie spectrale hyperbolique
By Frédéric Naud
Non-negativity and rational sums of squares over zero-dimensional varieties
By Teresa Krick
Appears in collection : 2023 - T3 - WS2 - Geometry of polynomial system solving, optimization and topology
In this work in progress with Lorenzo Baldi and Bernard Mourrain, we extend previous results on univariate rational sums of squares, obtained with Bernard and Agnes Szanto, to the case of a non-negative rational polynomial on a basic zero-dimensional semi-algebraic set defined by rational polynomials.
