2 problems

Let $M\subset \mathbb{C}P^{n+1}$ be a reducible stark hypersurface. At each point, let $\mathcal W\subset\mathcal H$ be a $2k$-dimensional subspace invariant under both $\mathsf A$…

Let $M\subset \mathbb{C}P^{n+1}$ be an irreducible stark hypersurface. At each point, choose a standard basis $(\mathbf{e}_1,\ldots,\mathbf{e}_{2n+1})$ and define the orthogonal di…