Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces
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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 ).
2017 ◽
Vol 69
(6)
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pp. 1274-1291
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2002 ◽
Vol 25
(1)
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pp. 191-196
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2010 ◽
Vol 53
(1)
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pp. 13-29
2011 ◽
Vol 22
(04)
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pp. 515-534
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