# On the equality case in Ehrhart's volume conjecture

@article{Nill2012OnTE,
title={On the equality case in Ehrhart's volume conjecture},
author={Benjamin Nill and A. Paffenholz},
journal={arXiv: Combinatorics},
year={2012}
}
• Published 2012
• Mathematics
• arXiv: Combinatorics
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 Kaehler-Einstein Fano manifolds. In this note, we prove that projective space is the only such toric manifold with maximal degree… Expand
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