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Calabi-Yau metrics of Calabi type with polynomial rate of convergence

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arxiv 2404.18070 v2 pith:KCOGU33S submitted 2024-04-28 math.DG

classification math.DG
keywords calabi-yaucalabimetricspolynomialratetypeampleanticanonical
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We present new complete Calabi-Yau metrics defined on the complement of a smooth anticanonical divisor with ample normal bundle, approaching the Calabi model space at a polynomial rate. Moreover, we establish the uniqueness of this type of Calabi-Yau metric within a fixed cohomology class.

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