Abstract
We extend a recent result of Burns, Guillemin and Uribe on the asymptotics of the spectral measure for the reduction metric on a toric variety to any toric metric on a toric variety.We show how this extended result together with the Tian–Yau–Zelditch asymptotic expansion can be used to deduce Abreu’s formula for the scalar curvature of a toric metric on a toric variety in terms of polytope data.
Citation
Rosa Sena-Dias. "Spectral measures on toric varieties and the asymptotic expansion of Tian-Yau-Zelditch." J. Symplectic Geom. 8 (2) 119 - 142, June 2010.
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