Two Non-Vanishing results concerning the Anti-Canonical Bundle

Niklas Müller

Let $(X,\Delta )$ be a klt threefold pair with nef anti-log canonical bundle $-(K_X+\Delta )$. We show that $\kappa (X,-(K_X+\Delta ))\ge 0$. To do so, we prove a more general equivariant non-vanishing…