On the typical rank of real bivariate polynomials

Abstract

Here we study the typical rank for real bivariate homogeneous polynomials of degree $d\ge 6$ (the case $d\le 5$ being settled by P. Comon and G. Ottaviani). We prove that $d-1$ is a typical rank and that if $d$ is odd, then $(d+3)/2$ is a typical rank.

References in corpus (1)

• Computing symmetric rank for symmetric tensors

Cited by in corpus (2)

• Real and complex rank for real symmetric tensors with low ranks
• Typical Real Ranks of Binary Forms