On the optimal volume upper bound for K\"ahler manifolds with positive Ricci curvature (with an appendix by Yuchen Liu)

29 Sep 2020 · Zhang Kewei ·

Using $\delta$-invariants and Newton--Okounkov bodies, we derive the optimal volume upper bound for K\"ahler manifolds with positive Ricci curvature, from which we get a new characterization of the complex projective space.