Abstract
We define various notions of rank of a polynomial, and study them via apolarity. We treat the notion of natural rank in particular depth, and classify ternary forms of degree at most four and quaternary forms of degree at most three completely.
We define various notions of rank of a polynomial, and study them via apolarity. We treat the notion of natural rank in particular depth, and classify ternary forms of degree at most four and quaternary forms of degree at most three completely.