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Annals of Mathematics· 2020Q1

Lorentzian polynomials

Petter Brändén, June Huh

Short summary

A new class of polynomials, termed Lorentzian, is introduced, characterized by their Hessian having exactly one positive eigenvalue on the positive orthant, analogous to Hodge-Riemann relations.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics