Asymptotically Calabi metrics and weak Fano manifolds
We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold.Furthermore, the Calabi-Yau structure arises from a generalized Tian-Yau construction on the compactification, and we prove a strong uniqueness theorem.We also give an application of this result to the surface case.
Authors
- Hans‐Joachim Hein (ORCID: https://orcid.org/0000-0002-3719-9549)
- Ruobing Zhang (ORCID: https://orcid.org/0000-0002-7553-9567)
- Jeffrey Viaclovsky
- Song Sun
Institutions
- University of California, Irvine (US)
- University of Münster (DE)
- University of California San Diego (US)
- Zhejiang University (CN)
Publication Details
- Journal
- Geometry & Topology
- Published
- 2025-08-14
- DOI
- https://doi.org/10.2140/gt.2025.29.2547
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Deutsche Forschungsgemeinschaft