Einstein-Kähler toric Fano fourfolds (Q685315)

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scientific article; zbMATH DE number 417235
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Einstein-Kähler toric Fano fourfolds
scientific article; zbMATH DE number 417235

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    Einstein-Kähler toric Fano fourfolds (English)
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    20 December 1993
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    We investigate the relationship between Matsushima's obstruction and the Futaki invariant for the existence of Einstein-Kähler metrics on toric Fano fourfolds. In particular, we determine all toric Fano fourfolds with vanishing Futaki invariant. Moreover, we construct a nontrivial example of an Einstein-Kähler toric Fano fourfold.
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    Futaki invariant
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    Einstein-Kähler metrics
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