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arxiv: math/0702777 · v1 · submitted 2007-02-26 · 🧮 math.DG · math.CV

On asymptotics of complete Ricci-flat K\"ahler metrics on open manifolds

classification 🧮 math.DG math.CV
keywords metricahlercompletedivisorricci-flatampleanticanonicalappropriate
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Tian and Yau constructed a complete Ricci-flat K\"ahler metric on the complement of an ample and smooth anticanonical divisor. We inquire into the behaviour of this metric towards the boundary divisor and prove a slow decay rate of the difference to an appropriate explicitely given referential metric.

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