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The object of this note is to prove the theorem stated below. The main idea of the proof, and much of the detail, are already to be found in V. I. Kulikov's important paper [K]. Our contribution to the proof, and the differences with Kulikov's paper are discussed later in this introduction. THEOREM. Let wl: X -> D be a semistable degeneration of surfaces such that:
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Persson et al. (1981) studied this question.
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