Vanishing Theorems on Complete Kähler Manifolds

1984/02/29 by Takeo Ohsawa · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Advanced Algebra and Geometry

paper · pdf · doi:10.2977/prims/1195181825

openalex publication_date 1984/02/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

Let X be a complex manifold of dimension n and let E be a holomorphic vector bundle over X. We shall here try to continue the study on the vanishment of the sheaf cohomology groups H ? (X 3 0(E)) which has been performed by Kodaira [10]

Citations

• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I
• On Levi's Problem and the Imbedding of Real-Analytic Manifolds

Cited by

• On semipositivity, injectivity and vanishing theorems
• Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications
• Function of several complex variables [wikipedia]