2 problems

Let $\Gamma$ be a discrete subgroup of $\mathbb{C}^n$ of rank $r\leq 2n$, and consider the quotient $\mathbb{C}^n/\Gamma$. The Riemann bilinear relations are the following conditio…

Let $X$ be a compact Kähler manifold of dimension $n$. Let $\alpha$ be a transcendental pseudo-effective $(1,1)$-class, let $\mathcal{M}$ denote the cone of movable classes, and le…