2 problems

The residue-class description. For $d \equiv 0,1,6,7 \pmod{8}$, the kinematic variety $\mathcal{K}^{(2)}_{d,n}$ consists of all symmetric $n\times n$ matrices with zero diagonal an…

Component-count conjecture. The lifted scattering correspondence $\widetilde{\rm C}(3,n,1)$ decomposes into five irreducible components, with exactly one component whose map onto…