3 papers
math.AG2026
Symmetric tensor decomposition on rational varieties
Matteo Bechere, Salma Kuhlmann, Bernard Mourrain
We study the Waring decomposition of symmetric tensors with nodes on a rational variety. We provide an explicit characterisation of the existence of such a decomposition under some…
math.AG2025
An Effective Positivstellensatz over the Rational Numbers for Finite Semialgebraic Sets
Lorenzo Baldi, Teresa Krick, Bernard Mourrain
We study the problem of representing multivariate polynomials with rational coefficients, which are nonnegative and strictly positive on finite semialgebraic sets, using rational s…
math.AC2024
Exact Moment Representation in Polynomial Optimization
Lorenzo Baldi, Bernard Mourrain
We investigate the problem of representing moment sequences by measures in the context ofPolynomial Optimization Problems, that consist in finding the infimum of a real polynomial…