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Holomorphic maps into compact complex spaces

✍ Scribed by R. R. Simha


Book ID
112648138
Publisher
Springer
Year
1982
Tongue
English
Weight
105 KB
Volume
39
Category
Article
ISSN
0003-889X

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Holomorphic cohomology groups on compact
✍ Vincenzo Ancona; Bernard Gaveau πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 French βš– 177 KB

Let (X, O X ) be a compact (reduced) complex space, bimeromorphic to a KΓ€hler manifold. The singular cohomology groups H q (X, C) carry a mixed Hodge structure. In particular they carry a weight filtration W -l H q (X, C) (l = 0, . . . , q), and the graded quotients C) have a direct sum decompositio