On the typical rank of real bivariate polynomials

Details On the typical rank of real bivariate polynomials On the typical rank of real bivariate polynomials

2012-04-14

arxiv.org/abs/1204.3161v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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