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Dimensions of sheaf cohomology groups under holomorphic deformation. (English) Zbl 0213.09803

MSC:
32C35 Analytic sheaves and cohomology groups
32G05 Deformations of complex structures
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References:
[1] Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. I.H.E.S. No.5 (1960). Berichtigung. I.H.E.S. No.16, 35–36 (1963). · Zbl 0158.32901
[2] Riemenschneider, O.: Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume. Math. Ann.187, 40–55 (1970). · Zbl 0196.09701 · doi:10.1007/BF01368159
[3] Siu, Y.-T.: A pseudoconcave generalization of Grauert’s direct image theorem: I, II. Ann. Scuola Norm. Sup. Pisa24, 278–330; 439–489 (1970).
[4] —- The 1-convex generalization of Grauert’s direct image theorem. Math. Ann.190, 203–214 (1971). · Zbl 0203.08203 · doi:10.1007/BF01433210
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