Lineability of Summing Sets of Homogeneous Polynomials

Given a continuous $n$-homogeneous polynomial $P : E\to F$ between Banach spaces and $1 \le q\le p < \infty$, in this paper we investigate some properties concerning lineability and spaceability of the $(p; q)$-summing set of $P$, defined by $S_{p;q} (P) = \{a\in E : P is $(p; q)$ -summing at a\}$.