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Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds
1. Kahler C-spaces and the generalized Borel-Weil theorem.A simply connected compact homogeneous Kahler manifold is called a Kahler C-space.Let Y be a Kahler C-space with the second Betti number b 2 (Y) -1.We first recall how Y can be constructed.Let g be a complex simple Lie algebra.