When is a degree-$n$ homogeneous polynomial in $\mathbb{C}[x_1, x_2, \ldots , x_m ]$ the product of $n$ one-forms?
Is there any simple algorithm or criterion to check it?
I have chosen the complex field to avoid any field insufficiency.
When is a degree-$n$ homogeneous polynomial in $\mathbb{C}[x_1, x_2, \ldots , x_m ]$ the product of $n$ one-forms?
Is there any simple algorithm or criterion to check it?
I have chosen the complex field to avoid any field insufficiency.