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

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

2011-12-19

arxiv.org/abs/1112.4445v1

Mathematics

Differential Geometry

7 pages

Scientific paper

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.

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