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...in these lists all satisfy the inequality h1,1 + h2,1 > 21. Smaller Hodge numbers can be found by taking quotients by groups which have a free holomorphic action on one of these manifolds (see, e.g., =-=[26, 27, 28]-=- and references therein), but none of the known spaces constructed this way satisfy our requirements. Our technique here will be to begin with known manifolds with h1,1 < 3, h2,1 < 4, and a non-trivia...

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... = 0 , (1.8) together with the Hamiltonian constraint 4This coordinate system is therefore only valid away from the locus X 0 = 0. 5The attractor points of this model have been extensively studied in =-=[12]-=-. Related works can be found in [13] [14]. 6It has been conjectured that this is also true in the extremal non-supersymmetric case [21, 22]. 7The conformastatic coordinates (t, τ, θ, φ) cover the oute...