The projective space has maximal volume among all toric K\"ahler-Einstein manifolds
Differential Geometry
2011-12-20 v1
Abstract
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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Cite
@article{arxiv.1112.4445,
title = {The projective space has maximal volume among all toric K\"ahler-Einstein manifolds},
author = {Robert J. Berman and Bo Berndtsson},
journal= {arXiv preprint arXiv:1112.4445},
year = {2011}
}
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7 pages