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The projective space has maximal volume among all toric K\"ahler-Einstein manifolds by Berman, Robert J.; Berndtsson, Bo is a scholarly article available to read on EtoBox.

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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.

Author
Berman, Robert J.; Berndtsson, Bo
Published
2011
Language
EN

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