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math.AG2025
Copositivity, discriminants and nonseparable signed supports
Elisenda Feliu, Joan Ferrer, Máté L. Telek
We establish a connection between discriminants and copositivity of sparse Laurent polynomials. More generally, we consider signomials, which are defined on the positive orthant by…
math.AG2025
Toric extensions of Pólya's theorem
Lorenzo Baldi, Rainer Sinn, Máté L. Telek +1
The classical version of Pólya's theorem provides a simple method for certifying that a homogeneous polynomial of degree d is strictly copositive, that is, it takes only positive v…
math.OC2025
Copositive geometry of Feynman integrals
Bernd Sturmfels, Máté L. Telek
Copositive matrices and copositive polynomials are objects from optimization. We connect these to the geometry of Feynman integrals in physics. The integral is guaranteed to conver…