On the optimal volume upper bound for Kähler manifolds with positive Ricci curvature (with an appendix by Yuchen Liu)

Abstract

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

arXiv commentFinal version, to appear in Int. Math. Res. Not. IMRN

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Cited by in corpus (1)

• Metric rigidity of Kahler manifolds with lower Ricci bounds and almost maximal volume