Compact complex manifolds possessing a line bundle with a trivial jet bundle

DOI10.1007/BF02941353zbMath0409.32015MaRDI QIDQ1258858

Andrew John Sommese

Publication date: 1978

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Compact Complex ManifoldAmple Tangent BundleCharacterization As Projective SpaceLine Bundle

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Complex manifolds (32Q99) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Vanishing theorems (32L20)

Related Items

A note on principal parts on projective space and linear representations ⋮ Line bundles for which a projectivized jet bundle is a product ⋮ On manifolds that cannot be ample divisors

Cites Work

• Unnamed Item
• Unnamed Item
• Eigentliche holomorphe Abbildungen
• Über Modifikationen und exzeptionelle analytische Mengen
• Ample vector bundles
• On complex manifolds with positive tangent bundles
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
• Lie Equations, Vol. I