On the typical rank of real binary forms
Algebraic Geometry
2009-09-29 v1 Statistics Theory
Statistics Theory
Abstract
We determine the rank of a general real binary form of degree d=4 and d=5. In the case d=5, the possible values of the rank of such general forms are 3,4,5. The existence of three typical ranks was unexpected. We prove that a real binary form of degree d with d real roots has rank d.
Keywords
Cite
@article{arxiv.0909.4865,
title = {On the typical rank of real binary forms},
author = {Pierre Comon and Giorgio Ottaviani},
journal= {arXiv preprint arXiv:0909.4865},
year = {2009}
}
Comments
12 pages, 2 figures