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- W2964125035 abstract "Abstract Ehrhart’s conjecture proposes a sharp upper bound on the volume of a convex body whose barycenter is its only interior lattice point. Recently, Berman and Berndtsson proved this conjecture for a class of rational polytopes including reflexive polytopes. In particular, they showed that the complex projective space has the maximal anticanonical degree among all toric Kähler- Einstein Fano manifolds. In this note, we prove that projective space is the only such toric manifold with maximal degree by proving the corresponding convex-geometric statement. We also discuss a generalized version of Ehrhart’s conjecture involving an invariant corresponding to the so-called greatest lower bound on the Ricci curvature." @default.
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- W2964125035 date "2014-10-01" @default.
- W2964125035 modified "2023-10-18" @default.
- W2964125035 title "On the equality case in Ehrhart’s volume conjecture" @default.
- W2964125035 doi "https://doi.org/10.1515/advgeom-2014-0001" @default.
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