Complete Calabi-Yau metrics on noncompact abelian fibered threefolds

Ruiming Liang; Yang Zhang

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Complete Calabi-Yau metrics on noncompact abelian fibered threefolds

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arxiv 2501.15205 v2 pith:UQQKEFKQ submitted 2025-01-25 math.DG math.AG

Ruiming Liang , Yang Zhang This is my paper · ORCID

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keywords abeliancalabi-yaucompletemetricsarticlebundlecanonicalcompactification

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abstract

In this article, we construct complete Calabi-Yau metrics on abelian fibrations $X$ over $\mathbb{C}$. We also provide compactification for $X$ so that the compactified variety has negative canonical bundle.

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