Birational rigidity and alpha invariants of Fano varieties

Ivan Cheltsov, Arman Sarikyan, Ziquan Zhuang

We prove that for every $\epsilon >0$, there is a birationally super-rigid Fano variety $X$ such that $\frac{1}{2}⩽\alpha (X)⩽\frac{1}{2}+\epsilon$. Also we show that for every $\epsilon >0$,…