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On asymptotics of complete Ricci-flat Kähler metrics on open manifolds

Bert Koehler·Marco Kuehnel
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Abstract

Tian and Yau constructed a complete Ricci-flat Kähler 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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Bert Koehler, Marco Kuehnel. 2007-02-26. On asymptotics of complete Ricci-flat Kähler metrics on open manifolds. https://arxiv.org/abs/math/0702777

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