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Paper detail

The projective space has maximal volume among all toric Kähler-Einstein manifolds

We prove a conjecture saying that complex projective space has maximal volume (degree) among all toric Kaehler-Einstein manifolds of dimension n. The proof is inspired by our recent work on sharp Moser-Trudinger and Brezis-Merle type inequalities for the complex Monge-Ampere operator, but is essentially self-contained.

preprint2011arXivOpen access
Robert J. BermanBo Berndtsson
math.DG
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Robert J. BermanBo Berndtsson

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