Complete Calabi–Yau metrics in the complement of two divisors
We construct new complete Calabi–Yau metrics on the complement of an anticanonical divisor 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–Ampère equation.
Authors
- Tristan C. Collins (ORCID: https://orcid.org/0000-0002-1127-0458)
- Yang Li (ORCID: https://orcid.org/0000-0003-0458-1714)
Institutions
- Massachusetts Institute of Technology (US)
Publication Details
- Journal
- Duke Mathematical Journal
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1215/00127094-2024-0020
- Citations
- 2
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 2.02