Theorems of Barth-Lefschetz type for complex subspaces of homogeneous complex manifolds

AUTOR(ES)

Sommese, Andrew John

RESUMO

Barth, Larsen, and others showed that complex submanifolds of complex projective space, CPN, of small codimension strongly resemble CPN both homotopically and cohomologically. These results are generalized to yield analogous results for complex subspaces of arbitrary homogeneous complex manifolds. One very special corollary that gives the flavor of the results is:

Documentos Relacionados

• ON CERTAIN HOMOGENEOUS COMPLEX MANIFOLDS
• SOME RESULTS ON LOCALLY HOMOGENEOUS COMPLEX MANIFOLDS*
• HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS*
• LIMIT THEOREMS FOR HOMOGENEOUS STOCHASTIC PROCESSES
• ON THE DUALITY THEOREMS FOR THE BETTI NUMBERS OF TOPOLOGICAL MANIFOLDS