Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599528 | Linear Algebra and its Applications | 2014 | 7 Pages |
Abstract
Here we study the typical rank for real bivariate homogeneous polynomials of degree d⩾6 (the case d⩽5 being settled by P. Comon and G. Ottaviani). We prove that dâ1 is a typical rank and that if d is odd, then (d+3)/2 is a typical rank. The Comon-Ottaviani conjecture was later completely solved by G. Blekherman.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Edoardo Ballico,