(1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions

Tristan C. Collins, Adam Jacob, Shing-Tung Yau

Let $(X,\alpha )$ be a Kähler manifold of dimension n, and let $[\omega ]\in H^{1,1}(X,\mathbb{R})$. We study the problem of specifying the Lagrangian phase of $\omega$ with respect to $\alpha$, which…