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arxiv: 1706.01608 · v4 · pith:FIBN5LAHnew · submitted 2017-06-06 · 🧮 math.DG

Generalized K\"ahler Einstein metrics and uniform stability for toric Fano manifolds

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keywords ahlermetricseinsteinfanogeneralizedmanifoldsstabilitytoric
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We give a complete criterion for the existence of generalized K\"ahler Einstein metrics on toric Fano manifolds from view points of a uniform stability in a sense of GIT and the properness of a functional on the space of K\"ahler metrics.

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