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arXiv · 2203.10656

Complete Calabi-Yau metrics in the complement of two divisors

Tristan C. Collins·Yang Li
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Abstract

We construct new complete Calabi-Yau metrics on the complement of an anticanonical divisors $D$ in a Fano manifold of dimension at least three, when $D$ 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-Amp\`ere equation.

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Tristan C. Collins, Yang Li. 2022-03-20. Complete Calabi-Yau metrics in the complement of two divisors. https://arxiv.org/abs/2203.10656

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