scholarly journals Note on meromorphic mappings in complex spaces

1961 ◽  
Vol 13 (4) ◽  
pp. 410-415
Author(s):  
Kenkiti KASAHARA
Keyword(s):  
Complex Spaces ◽  
Meromorphic Mappings

Meromorphic mappings onto compact complex spaces of general type

1975 ◽  
Vol 31 (1) ◽  
pp. 7-16 ◽  
Author(s):  
Shoshichi Kobayashi ◽  
Takushiro Ochiai
Keyword(s):  
General Type ◽  
Complex Spaces ◽  
Meromorphic Mappings

Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces

2003 ◽  
Vol 10 (1) ◽  
pp. 37-43
Author(s):  
E. Ballico
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Free Resolution ◽  
Complete Intersections ◽  
Vanishing Theorem ◽  
Sheaf Cohomology ◽  
Minimal Free Resolution ◽  
Branched Coverings ◽  
Infinite Dimensional ◽  
Complex Spaces

Abstract We consider the vanishing problem for higher cohomology groups on certain infinite-dimensional complex spaces: good branched coverings of suitable projective spaces and subvarieties with a finite free resolution in a projective space P(V ) (e.g. complete intersections or cones over finitedimensional projective spaces). In the former case we obtain the vanishing result for H 1. In the latter case the corresponding results are only conditional for sheaf cohomology because we do not have the corresponding vanishing theorem for P(V ).

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