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On the rigidity of horizontal slices. (English) Zbl 1032.32010

Summary: We prove a rigidity theorem of the Hodge metric for concave horizontal slices and a local rigidity theorem for the monodromy representation.

MSC:

32G13 Complex-analytic moduli problems
58H15 Deformations of general structures on manifolds
32Q25 Calabi-Yau theory (complex-analytic aspects)
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