Theorem 1.1 (Tian-Yau, [ 16 ] ) . [021Y]

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Theorem 1.1 (Tian-Yau, [16]).

Given a smooth irreducible anticanonical divisor $D$ on a smooth Fano manifold $\bar{X}$ , then the complement $X=\bar{X}\setminus D$ admits a complete Calabi-Yau metric.