Riemann-Roch Polynomials, MBM Classes and Poor IHS Manifolds
We study poor irreducible holomorphic symplectic manifolds, namely those containing no rational curves and no codimension-one subvarieties. We show that, for such manifolds, several natural cones in \(H^{1,1}(X,\mathbb R)\) coincide, giving strong rigidity consequences. In particular, poor elliptic irreducible holomorp...