On the typical rank of real bivariate polynomials
On the typical rank of real bivariate polynomials
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DOI：
10.1016/j.laa.2014.04.001
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发表时间：
2012-04
影响因子：
1.1
通讯作者：
E. Ballico
中科院分区：
文献类型：
--
作者：
E. Ballico
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 d− 1 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.
