Algebraic boundaries among typical ranks for real binary forms of\n arbitrary degree

2019/11/05 by Maria Chiara Brambilla, Brambilla, Maria Chiara, Giovanni Staglianò +1
Mathematics · #14N05 #14P10 #15A69 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1911.01958

openalex publication_date 2019/11/05 · openalex created_date 2022/07/24 · openalex updated_date 2026/07/28

Abstract

We show that the algebraic boundaries of the regions of real binary forms\nwith fixed typical rank are always unions of dual varieties to suitable\ncoincident root loci.\n

Related

• On the typical rank of real binary forms
• On the maximum rank of a real binary form
• Real rank boundaries and loci of forms
• Real Rank Two Geometry
• Real Rank Geometry of Ternary Forms