Families of smooth hypersurfaces on certain compact homogeneous complex manifolds

DOI10.1017/S0305004100060618zbMath0519.32018OpenAlexW2083500620MaRDI QIDQ3669746

Ciprian S. Borcea

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100060618

zbMATH Keywords

compact homogeneous Kaehler manifoldcompleteness of linear system of effective divisor

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Divisors, linear systems, invertible sheaves (14C20) Homogeneous complex manifolds (32M10) Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15)

Cites Work

• Homogeneous vector bundles
• Über holomorphe Abbildungen projektiv-algebraischer Mannigfaltigkeiten auf komplexe Räume
• Über kompakte homogene Kählersche Mannigfaltigkeiten
• A theorem of completeness for complex analytic fibre spaces
• On deformations of complex analytic structures. I
• Characteristic Classes and Homogeneous Spaces, I
• Introduction to Lie Algebras and Representation Theory
• Kählerian Coset Spaces of Semisimple Lie Groups

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