Abstract
In this paper we formulate two splitting criteria for PO-complexes (2.4, 4.2), being inspired by the work [6] of V. P. Palamodov. These criteria play an important part in the solution of the local moduli problem for proper holomorphic maps and strictly pseudoconvex spaces, see [1, 2] and [3]. Detailed proofs are given in [3], Kap. II. Also, one can use these results to show an improved version of the direct image theorem for proper holomorphic maps and coherence theorems for families of elliptic complexes.
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