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CALABI’S EXTREMAL METRICS ON TORIC MANIFOLDS.
Stability of extremal metrics under complex deformations
extremal metrics complex deformations Differential Geometry
2011/8/24
Abstract: Let $(\mathcal {X},\Omega)$ be a closed polarized complex manifold, $g$ be an extremal metric on $\mathcal X$ that represents the K\"ahler class $\Omega$, and $G$ be a compact connected subg...
We define a number of natural (from geometric and combinatorial points of view) deformation spaces of valuations on finite graphs, and study functions over these deformation spaces. These functions in...