arXiv (All)
open access
A Complex Structure on $T^2\times S^4$: The Genus-One Case of Calabi's Problem
We construct a complex structure on $T^2\times S^4$, giving an affirmative answer to the genus-one case of Calabi's problem. The resulting compact complex threefold is non-Kähler and admits no biholomorphic product decomposition.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- T^2-invariant Einstein metrics on closed 4-manifolds#1343735
- Complex individuals and multigrade relations#754864
- Degenerations of exotic Calabi-Yau metrics through Atiyah's flop#986596
- Metric-geometric Chow theorem#781100
- Metric-geometric Chow theorem#779725
Record · ID 1202486
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive