Waring decompositions of the product of two quadrics: the small rank cases

Meghana Bhat, Enrico Carlini, Saipriya Dubey +1

In this paper we study forms of the type $(x_1^2+\cdots +x_m^2)(y_1^2+\cdots +y_n^2)$ using projections. For $m=1,m=2$, and for any $n$ we describe: the forbidden locus, the stru…