ON STABILITY OF COMPACT SUBMANIFOLDS OF COMPLEX MANIFOLDS
Abstract
Stability of compact submanifolds of complex manifolds and some related topics are discussed. A compact submanifold V of a complex manifold W is said to be stable if any small deformation W T OF contains a small deformation Vt of V. Let psi be the sheaf over V of germs of holomorphic sections of the normal bundle of V in W. If the first cohomology group H1(V,psi) vanishes then V is a stable submanifold of W. A fibre structure of a compact fibred complex manifold M is said to be stable if any small deformation Mt of M retains a fibre structure. If each fibre of M is regular then the fibre structure of M is stable. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1961
- Accession Number
- AD0261356
Entities
People
- K. Kodaira
Organizations
- Institute for Advanced Study