On the complement of effective divisors with semipositive normal bundle

2012/01/01 by Takeo Ohsawa · 1 citation
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory

paper · pdf · doi:10.1215/21562261-1625181

openalex publication_date 2012/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06

Abstract

A Hartogs-type extension theorem is proved for the complement of certain effective divisors on compact Kähler manifolds. A method employed in the proof yields a result supplementing some solutions of the Levi problem on two-dimensional spaces.

Citations

• L2 estimates and existence theorems for the ∂ operator
• Cohomology ofq-convex spaces in top degrees
• On Levi's Problem and the Imbedding of Real-Analytic Manifolds
• On Kahler Varieties of Restricted Type An Intrinsic Characterization of Algebraic Varieties)

Cited by

• Function of several complex variables [wikipedia]

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