arXiv (All)
open access
Positivity of the canonical bundle and Hermitian metrics with quasi-negative holomorphic sectional curvature
We prove that if a compact Kähler manifold admits a Hermitian metric with quasi-negative holomorphic sectional curvature for the Chern connection, then its canonical bundle is ample. The Hermitian metric realizing this curvature need not be Kähler. This proves the Kähler case of the quasi-negative c
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
- On a construction of hermitian metrics on holomorphic vector bundles#819781
- On a construction of hermitian metrics on holomorphic vector bundles#809785
- Canonical metrics on holomorphic fibre bundles#997885
- On Compact Hermitian Surfaces With Positive Strominger-Bismut Sectional Curvature#1083807
- Kähler Rigidity for Constant Chern Holomorphic Sectional Curvature#1061394
Record · ID 1217846
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