Holomorphic and Meromorphic Mappings and Curvature.
Complete Characterization of Holomorphic Chains of Codimension One.
Cohomology and splitting of Hermitian-Einstein vector bundles.
Nevanlinna Defect Relations for Singular Divisors.
Extension of Positive Line Bundles and Meromorphic Maps.
Distribution laws for integrable eigenfunctions
We determine the asymptotics of the joint eigenfunctions of the torus action on a toric Kähler variety. Such varieties are models of completely integrable systems in complex geometry. We first determine the pointwise asymptotics of the eigenfunctions, which show that they behave like Gaussians centered at the corresponding classical torus. We then show that there is a universal Gaussian scaling limit of the distribution function near its center. We also determine the limit...
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