Complete Calabi-Yau metrics in the complement of two divisors

preprint2022arXivOpen access

Abstract

We construct new complete Calabi-Yau metrics on the complement of an anticanonical divisors DD in a Fano manifold of dimension at least three, when DD consists of two transversely intersecting smooth divisors. The asymptotic geometry is modeled on a generalization of the Calabi ansatz, related to the non-archimedean Monge-Ampère equation.

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