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All toric Hermitian ALE gravitational instantons
differential-geometrygeneral-relativity-and-quantum-cosmologyhigh-energy-physics-theorymathematical-physics
We prove that the only smooth, Ricci flat, ALE instanton with a toric Hermitian non-Kähler structure is the Eguchi-Hanson instanton. The proof is analogous to the classification of toric Hermitian ALF instantons by Biquard and Gauduchon, although we avoid the use of toric Kähler geometry and instead
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