2 problems

Let ${\textrm{SO}}^\star(5)$ denote the variety of orthogonal matrices with the relevant zero pattern, and let a totally real linear slice mean a codimension-two linear section who…

For $G=F_{4},E_{6},E_{7}$ or $E_{8}$, let $W_{G}$ be the representation associated with the subadjoint variety and let $H_{G}$ act on $Gr(2,W_{G})$. The source constructs a biratio…