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On Hodge theory over strongly pseudo convex boundaries. (English) Zbl 0927.32012

Noguchi, J. (ed.) et al., Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19–29, 1995. Singapore: World Scientific. 19-24 (1996).
From the Introduction: “For compact Kähler manifolds, Hodge theory is well understood, and by many authors, the deep relation with deformation theory has been shown. While, for isolated singularities, in spite of several similarities with compact Kähler manifolds, as for the relation between Hodge theory and deformation theory, only a little has been known. We would like to discuss this issue, in terms of CR-geometry”.
For the entire collection see [Zbl 0903.00037].

MSC:

32G07 Deformations of special (e.g., CR) structures
58A14 Hodge theory in global analysis
32S30 Deformations of complex singularities; vanishing cycles