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...

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  • DIFFERENTIAL GEOMETRY
  • ALGEBRAIC GEOMETRY