An observation on positive definite forms

2016/02/12 by Claus Scheiderer, Scheiderer, Claus
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Primary 14P99 #secondary 11E25

paper · pdf · doi:10.48550/arxiv.1602.03986

openalex publication_date 2016/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given two positive definite forms f, g∈ℝ[x₁,…,x_n], we prove that fg^r lies in the interior of the sums of squares cone for large r.

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