Levi Problem Under the Negativity of the Canonical Bundle near the Boundary
Abstract
A theorem asserting the existence of proper holomorphic maps with connected fibers to an open subset of \mathbb{C}^{N} from a locally pseudoconvex bounded domain in a complex manifold will be proved under the negativity of the canonical bundle on the boundary. Related results by Takayama on the holomorphic embeddability and holomorphic convexity of pseudoconvex manifolds will be extended under similar curvature conditions.
Fields of Study & Subjects
Geometry and complex manifolds
Holomorphic and Operator Theory
Analytic and geometric function theory
Publication details
- Journal / source
- Publications of the Research Institute for Mathematical Sciences
- Volume
- 62
- Issue
- 1
- Pages
- 201–213
- Publication date
- 17 February 2026
- Language
- EN