Branched Coverings and Minimal Free Resolution for Infinite-dimensional Complex Spaces
نویسنده
چکیده
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. 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 ). 2000 Mathematics Subject Classification: 32K05, 32L10.
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